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Finding the Fourth Proportional to 6,335.72, 8,747.39 and 5,671.42

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Solution

The fourth proportional to 6,335.72, 8,747.39 and 5,671.42 is: 7,830.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.72 : 8,747.39 = 5,671.42 : x
  2. Step 2: Convert to fraction form
    6,335.72/8,747.39 = 5,671.42/x
  3. Step 3: Cross multiply
    6,335.72x = 8,747.39 × 5,671.42
  4. Step 4: Simplify right side
    6,335.72x = 49,610,114.90
  5. Step 5: Solve for x
    x = 49,610,114.90/6,335.72
  6. Step 6: Final answer
    x = 7,830.23

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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.