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Finding the Fourth Proportional to 7,073.69, 9,761.91 and 4,089.26

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Solution

The fourth proportional to 7,073.69, 9,761.91 and 4,089.26 is: 5,643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.69 : 9,761.91 = 4,089.26 : x
  2. Step 2: Convert to fraction form
    7,073.69/9,761.91 = 4,089.26/x
  3. Step 3: Cross multiply
    7,073.69x = 9,761.91 × 4,089.26
  4. Step 4: Simplify right side
    7,073.69x = 39,918,997.16
  5. Step 5: Solve for x
    x = 39,918,997.16/7,073.69
  6. Step 6: Final answer
    x = 5,643.30

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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.