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Finding the Fourth Proportional to 8,737.38, 12,036.42 and 6,495.39

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Solution

The fourth proportional to 8,737.38, 12,036.42 and 6,495.39 is: 8,947.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,737.38 : 12,036.42 = 6,495.39 : x
  2. Step 2: Convert to fraction form
    8,737.38/12,036.42 = 6,495.39/x
  3. Step 3: Cross multiply
    8,737.38x = 12,036.42 × 6,495.39
  4. Step 4: Simplify right side
    8,737.38x = 78,181,242.10
  5. Step 5: Solve for x
    x = 78,181,242.10/8,737.38
  6. Step 6: Final answer
    x = 8,947.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.