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Finding the Fourth Proportional to 8,641.38, 12,961.83 and 6,046.02

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Solution

The fourth proportional to 8,641.38, 12,961.83 and 6,046.02 is: 9,068.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.38 : 12,961.83 = 6,046.02 : x
  2. Step 2: Convert to fraction form
    8,641.38/12,961.83 = 6,046.02/x
  3. Step 3: Cross multiply
    8,641.38x = 12,961.83 × 6,046.02
  4. Step 4: Simplify right side
    8,641.38x = 78,367,483.42
  5. Step 5: Solve for x
    x = 78,367,483.42/8,641.38
  6. Step 6: Final answer
    x = 9,068.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.