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Finding the Fourth Proportional to 9,499.80, 14,232.96 and 5,793.24

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Solution

The fourth proportional to 9,499.80, 14,232.96 and 5,793.24 is: 8,679.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.80 : 14,232.96 = 5,793.24 : x
  2. Step 2: Convert to fraction form
    9,499.80/14,232.96 = 5,793.24/x
  3. Step 3: Cross multiply
    9,499.80x = 14,232.96 × 5,793.24
  4. Step 4: Simplify right side
    9,499.80x = 82,454,953.19
  5. Step 5: Solve for x
    x = 82,454,953.19/9,499.80
  6. Step 6: Final answer
    x = 8,679.65

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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.