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Finding the Fourth Proportional to 9,470.88, 14,193.36 and 4,844.16

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Solution

The fourth proportional to 9,470.88, 14,193.36 and 4,844.16 is: 7,259.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.88 : 14,193.36 = 4,844.16 : x
  2. Step 2: Convert to fraction form
    9,470.88/14,193.36 = 4,844.16/x
  3. Step 3: Cross multiply
    9,470.88x = 14,193.36 × 4,844.16
  4. Step 4: Simplify right side
    9,470.88x = 68,754,906.78
  5. Step 5: Solve for x
    x = 68,754,906.78/9,470.88
  6. Step 6: Final answer
    x = 7,259.61

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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.