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Finding the Fourth Proportional to 9,144.13, 12,618.90 and 4,952.38

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Solution

The fourth proportional to 9,144.13, 12,618.90 and 4,952.38 is: 6,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.13 : 12,618.90 = 4,952.38 : x
  2. Step 2: Convert to fraction form
    9,144.13/12,618.90 = 4,952.38/x
  3. Step 3: Cross multiply
    9,144.13x = 12,618.90 × 4,952.38
  4. Step 4: Simplify right side
    9,144.13x = 62,493,500.13
  5. Step 5: Solve for x
    x = 62,493,500.13/9,144.13
  6. Step 6: Final answer
    x = 6,834.28

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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.