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Finding the Fourth Proportional to 9,793.13, 14,691.51 and 6,305.78

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Solution

The fourth proportional to 9,793.13, 14,691.51 and 6,305.78 is: 9,459.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.13 : 14,691.51 = 6,305.78 : x
  2. Step 2: Convert to fraction form
    9,793.13/14,691.51 = 6,305.78/x
  3. Step 3: Cross multiply
    9,793.13x = 14,691.51 × 6,305.78
  4. Step 4: Simplify right side
    9,793.13x = 92,641,429.93
  5. Step 5: Solve for x
    x = 92,641,429.93/9,793.13
  6. Step 6: Final answer
    x = 9,459.84

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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.