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Finding the Fourth Proportional to 6,539.35, 9,023.17 and 3,706.13

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Solution

The fourth proportional to 6,539.35, 9,023.17 and 3,706.13 is: 5,113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.35 : 9,023.17 = 3,706.13 : x
  2. Step 2: Convert to fraction form
    6,539.35/9,023.17 = 3,706.13/x
  3. Step 3: Cross multiply
    6,539.35x = 9,023.17 × 3,706.13
  4. Step 4: Simplify right side
    6,539.35x = 33,441,022.50
  5. Step 5: Solve for x
    x = 33,441,022.50/6,539.35
  6. Step 6: Final answer
    x = 5,113.82

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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.