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Finding the Fourth Proportional to 9,177.68, 12,671.29 and 7,049.41

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Solution

The fourth proportional to 9,177.68, 12,671.29 and 7,049.41 is: 9,732.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.68 : 12,671.29 = 7,049.41 : x
  2. Step 2: Convert to fraction form
    9,177.68/12,671.29 = 7,049.41/x
  3. Step 3: Cross multiply
    9,177.68x = 12,671.29 × 7,049.41
  4. Step 4: Simplify right side
    9,177.68x = 89,325,085.03
  5. Step 5: Solve for x
    x = 89,325,085.03/9,177.68
  6. Step 6: Final answer
    x = 9,732.86

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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.