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Finding the Fourth Proportional to 7,129.76, 9,839.10 and 3,943.28

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Solution

The fourth proportional to 7,129.76, 9,839.10 and 3,943.28 is: 5,441.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.76 : 9,839.10 = 3,943.28 : x
  2. Step 2: Convert to fraction form
    7,129.76/9,839.10 = 3,943.28/x
  3. Step 3: Cross multiply
    7,129.76x = 9,839.10 × 3,943.28
  4. Step 4: Simplify right side
    7,129.76x = 38,798,326.25
  5. Step 5: Solve for x
    x = 38,798,326.25/7,129.76
  6. Step 6: Final answer
    x = 5,441.74

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