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Finding the Fourth Proportional to 6,411.18, 9,612.96 and 3,077.82

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Solution

The fourth proportional to 6,411.18, 9,612.96 and 3,077.82 is: 4,614.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.18 : 9,612.96 = 3,077.82 : x
  2. Step 2: Convert to fraction form
    6,411.18/9,612.96 = 3,077.82/x
  3. Step 3: Cross multiply
    6,411.18x = 9,612.96 × 3,077.82
  4. Step 4: Simplify right side
    6,411.18x = 29,586,960.55
  5. Step 5: Solve for x
    x = 29,586,960.55/6,411.18
  6. Step 6: Final answer
    x = 4,614.90

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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.