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Finding the Fourth Proportional to 9,624.26, 14,452.86 and 5,948.30

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Solution

The fourth proportional to 9,624.26, 14,452.86 and 5,948.30 is: 8,932.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.26 : 14,452.86 = 5,948.30 : x
  2. Step 2: Convert to fraction form
    9,624.26/14,452.86 = 5,948.30/x
  3. Step 3: Cross multiply
    9,624.26x = 14,452.86 × 5,948.30
  4. Step 4: Simplify right side
    9,624.26x = 85,969,947.14
  5. Step 5: Solve for x
    x = 85,969,947.14/9,624.26
  6. Step 6: Final answer
    x = 8,932.63

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