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Finding the Fourth Proportional to 6,407.10, 9,612.99 and 2,514.18

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Solution

The fourth proportional to 6,407.10, 9,612.99 and 2,514.18 is: 3,772.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.10 : 9,612.99 = 2,514.18 : x
  2. Step 2: Convert to fraction form
    6,407.10/9,612.99 = 2,514.18/x
  3. Step 3: Cross multiply
    6,407.10x = 9,612.99 × 2,514.18
  4. Step 4: Simplify right side
    6,407.10x = 24,168,787.20
  5. Step 5: Solve for x
    x = 24,168,787.20/6,407.10
  6. Step 6: Final answer
    x = 3,772.19

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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.