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Finding the Fourth Proportional to 9,671.01, 13,344.98 and 5,691.88

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Solution

The fourth proportional to 9,671.01, 13,344.98 and 5,691.88 is: 7,854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.01 : 13,344.98 = 5,691.88 : x
  2. Step 2: Convert to fraction form
    9,671.01/13,344.98 = 5,691.88/x
  3. Step 3: Cross multiply
    9,671.01x = 13,344.98 × 5,691.88
  4. Step 4: Simplify right side
    9,671.01x = 75,958,024.76
  5. Step 5: Solve for x
    x = 75,958,024.76/9,671.01
  6. Step 6: Final answer
    x = 7,854.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.