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Finding the Fourth Proportional to 7,164.29, 9,887.17 and 4,139.54

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Solution

The fourth proportional to 7,164.29, 9,887.17 and 4,139.54 is: 5,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.29 : 9,887.17 = 4,139.54 : x
  2. Step 2: Convert to fraction form
    7,164.29/9,887.17 = 4,139.54/x
  3. Step 3: Cross multiply
    7,164.29x = 9,887.17 × 4,139.54
  4. Step 4: Simplify right side
    7,164.29x = 40,928,335.70
  5. Step 5: Solve for x
    x = 40,928,335.70/7,164.29
  6. Step 6: Final answer
    x = 5,712.83

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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.