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Finding the Fourth Proportional to 9,515,192.71, 13,130,978.94 and 5,164,279.08

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Solution

The fourth proportional to 9,515,192.71, 13,130,978.94 and 5,164,279.08 is: 7,126,712.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515,192.71 : 13,130,978.94 = 5,164,279.08 : x
  2. Step 2: Convert to fraction form
    9,515,192.71/13,130,978.94 = 5,164,279.08/x
  3. Step 3: Cross multiply
    9,515,192.71x = 13,130,978.94 × 5,164,279.08
  4. Step 4: Simplify right side
    9,515,192.71x = 67,812,039,839,762.57
  5. Step 5: Solve for x
    x = 67,812,039,839,762.57/9,515,192.71
  6. Step 6: Final answer
    x = 7,126,712.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.