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Finding the Fourth Proportional to 6,116.48, 9,168.16 and 4,007.31

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Solution

The fourth proportional to 6,116.48, 9,168.16 and 4,007.31 is: 6,006.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.48 : 9,168.16 = 4,007.31 : x
  2. Step 2: Convert to fraction form
    6,116.48/9,168.16 = 4,007.31/x
  3. Step 3: Cross multiply
    6,116.48x = 9,168.16 × 4,007.31
  4. Step 4: Simplify right side
    6,116.48x = 36,739,639.58
  5. Step 5: Solve for x
    x = 36,739,639.58/6,116.48
  6. Step 6: Final answer
    x = 6,006.66

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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.