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Finding the Fourth Proportional to 8,641.42, 12,961.52 and 4,932.02

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Solution

The fourth proportional to 8,641.42, 12,961.52 and 4,932.02 is: 7,397.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.42 : 12,961.52 = 4,932.02 : x
  2. Step 2: Convert to fraction form
    8,641.42/12,961.52 = 4,932.02/x
  3. Step 3: Cross multiply
    8,641.42x = 12,961.52 × 4,932.02
  4. Step 4: Simplify right side
    8,641.42x = 63,926,502.11
  5. Step 5: Solve for x
    x = 63,926,502.11/8,641.42
  6. Step 6: Final answer
    x = 7,397.69

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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.