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Finding the Fourth Proportional to 6,319.89, 9,472.14 and 4,471.53

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Solution

The fourth proportional to 6,319.89, 9,472.14 and 4,471.53 is: 6,701.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.89 : 9,472.14 = 4,471.53 : x
  2. Step 2: Convert to fraction form
    6,319.89/9,472.14 = 4,471.53/x
  3. Step 3: Cross multiply
    6,319.89x = 9,472.14 × 4,471.53
  4. Step 4: Simplify right side
    6,319.89x = 42,354,993.69
  5. Step 5: Solve for x
    x = 42,354,993.69/6,319.89
  6. Step 6: Final answer
    x = 6,701.86

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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.