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Finding the Fourth Proportional to 6,407.91, 9,612.36 and 2,461.07

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Solution

The fourth proportional to 6,407.91, 9,612.36 and 2,461.07 is: 3,691.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.91 : 9,612.36 = 2,461.07 : x
  2. Step 2: Convert to fraction form
    6,407.91/9,612.36 = 2,461.07/x
  3. Step 3: Cross multiply
    6,407.91x = 9,612.36 × 2,461.07
  4. Step 4: Simplify right side
    6,407.91x = 23,656,642.76
  5. Step 5: Solve for x
    x = 23,656,642.76/6,407.91
  6. Step 6: Final answer
    x = 3,691.79

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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.