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Finding the Fourth Proportional to 9,747.40, 14,633.41 and 5,591.19

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Solution

The fourth proportional to 9,747.40, 14,633.41 and 5,591.19 is: 8,393.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.40 : 14,633.41 = 5,591.19 : x
  2. Step 2: Convert to fraction form
    9,747.40/14,633.41 = 5,591.19/x
  3. Step 3: Cross multiply
    9,747.40x = 14,633.41 × 5,591.19
  4. Step 4: Simplify right side
    9,747.40x = 81,818,175.66
  5. Step 5: Solve for x
    x = 81,818,175.66/9,747.40
  6. Step 6: Final answer
    x = 8,393.85

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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.