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Finding the Fourth Proportional to 9,878,257.47, 14,798,213.74 and 7,279,843.18

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Solution

The fourth proportional to 9,878,257.47, 14,798,213.74 and 7,279,843.18 is: 10,905,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878,257.47 : 14,798,213.74 = 7,279,843.18 : x
  2. Step 2: Convert to fraction form
    9,878,257.47/14,798,213.74 = 7,279,843.18/x
  3. Step 3: Cross multiply
    9,878,257.47x = 14,798,213.74 × 7,279,843.18
  4. Step 4: Simplify right side
    9,878,257.47x = 107,728,675,371,321.30
  5. Step 5: Solve for x
    x = 107,728,675,371,321.30/9,878,257.47
  6. Step 6: Final answer
    x = 10,905,635.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.