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Finding the Fourth Proportional to 6,061.12, 9,077.10 and 3,456.16

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Solution

The fourth proportional to 6,061.12, 9,077.10 and 3,456.16 is: 5,175.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061.12 : 9,077.10 = 3,456.16 : x
  2. Step 2: Convert to fraction form
    6,061.12/9,077.10 = 3,456.16/x
  3. Step 3: Cross multiply
    6,061.12x = 9,077.10 × 3,456.16
  4. Step 4: Simplify right side
    6,061.12x = 31,371,909.94
  5. Step 5: Solve for x
    x = 31,371,909.94/6,061.12
  6. Step 6: Final answer
    x = 5,175.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.