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Finding the Fourth Proportional to 9,144.33, 12,619.17 and 4,952.58

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Solution

The fourth proportional to 9,144.33, 12,619.17 and 4,952.58 is: 6,834.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.33 : 12,619.17 = 4,952.58 : x
  2. Step 2: Convert to fraction form
    9,144.33/12,619.17 = 4,952.58/x
  3. Step 3: Cross multiply
    9,144.33x = 12,619.17 × 4,952.58
  4. Step 4: Simplify right side
    9,144.33x = 62,497,443.87
  5. Step 5: Solve for x
    x = 62,497,443.87/9,144.33
  6. Step 6: Final answer
    x = 6,834.56

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