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Finding the Fourth Proportional to 9,622.53, 14,438.25 and 5,234.76

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Solution

The fourth proportional to 9,622.53, 14,438.25 and 5,234.76 is: 7,854.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.53 : 14,438.25 = 5,234.76 : x
  2. Step 2: Convert to fraction form
    9,622.53/14,438.25 = 5,234.76/x
  3. Step 3: Cross multiply
    9,622.53x = 14,438.25 × 5,234.76
  4. Step 4: Simplify right side
    9,622.53x = 75,580,773.57
  5. Step 5: Solve for x
    x = 75,580,773.57/9,622.53
  6. Step 6: Final answer
    x = 7,854.56

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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.