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Finding the Fourth Proportional to 7,073.67, 9,761.76 and 3,887.13

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Solution

The fourth proportional to 7,073.67, 9,761.76 and 3,887.13 is: 5,364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.67 : 9,761.76 = 3,887.13 : x
  2. Step 2: Convert to fraction form
    7,073.67/9,761.76 = 3,887.13/x
  3. Step 3: Cross multiply
    7,073.67x = 9,761.76 × 3,887.13
  4. Step 4: Simplify right side
    7,073.67x = 37,945,230.15
  5. Step 5: Solve for x
    x = 37,945,230.15/7,073.67
  6. Step 6: Final answer
    x = 5,364.29

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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.