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Finding the Fourth Proportional to 9,793.04, 14,691.17 and 4,862.84

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Solution

The fourth proportional to 9,793.04, 14,691.17 and 4,862.84 is: 7,295.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.04 : 14,691.17 = 4,862.84 : x
  2. Step 2: Convert to fraction form
    9,793.04/14,691.17 = 4,862.84/x
  3. Step 3: Cross multiply
    9,793.04x = 14,691.17 × 4,862.84
  4. Step 4: Simplify right side
    9,793.04x = 71,440,747.82
  5. Step 5: Solve for x
    x = 71,440,747.82/9,793.04
  6. Step 6: Final answer
    x = 7,295.06

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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.