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Finding the Fourth Proportional to 9,793.77, 14,672.13 and 7,591.71

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Solution

The fourth proportional to 9,793.77, 14,672.13 and 7,591.71 is: 11,373.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.77 : 14,672.13 = 7,591.71 : x
  2. Step 2: Convert to fraction form
    9,793.77/14,672.13 = 7,591.71/x
  3. Step 3: Cross multiply
    9,793.77x = 14,672.13 × 7,591.71
  4. Step 4: Simplify right side
    9,793.77x = 111,386,556.04
  5. Step 5: Solve for x
    x = 111,386,556.04/9,793.77
  6. Step 6: Final answer
    x = 11,373.21

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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.