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Finding the Fourth Proportional to 8,638.30, 12,957.66 and 6,460.86

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Solution

The fourth proportional to 8,638.30, 12,957.66 and 6,460.86 is: 9,691.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.30 : 12,957.66 = 6,460.86 : x
  2. Step 2: Convert to fraction form
    8,638.30/12,957.66 = 6,460.86/x
  3. Step 3: Cross multiply
    8,638.30x = 12,957.66 × 6,460.86
  4. Step 4: Simplify right side
    8,638.30x = 83,717,627.19
  5. Step 5: Solve for x
    x = 83,717,627.19/8,638.30
  6. Step 6: Final answer
    x = 9,691.45

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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.