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Finding the Fourth Proportional to 9,178.38, 12,658.68 and 5,640.30

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Solution

The fourth proportional to 9,178.38, 12,658.68 and 5,640.30 is: 7,779.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.38 : 12,658.68 = 5,640.30 : x
  2. Step 2: Convert to fraction form
    9,178.38/12,658.68 = 5,640.30/x
  3. Step 3: Cross multiply
    9,178.38x = 12,658.68 × 5,640.30
  4. Step 4: Simplify right side
    9,178.38x = 71,398,752.80
  5. Step 5: Solve for x
    x = 71,398,752.80/9,178.38
  6. Step 6: Final answer
    x = 7,779.01

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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.