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Finding the Fourth Proportional to 6,671.28, 9,202.24 and 5,348.15

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Solution

The fourth proportional to 6,671.28, 9,202.24 and 5,348.15 is: 7,377.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.28 : 9,202.24 = 5,348.15 : x
  2. Step 2: Convert to fraction form
    6,671.28/9,202.24 = 5,348.15/x
  3. Step 3: Cross multiply
    6,671.28x = 9,202.24 × 5,348.15
  4. Step 4: Simplify right side
    6,671.28x = 49,214,959.86
  5. Step 5: Solve for x
    x = 49,214,959.86/6,671.28
  6. Step 6: Final answer
    x = 7,377.14

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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.