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Finding the Fourth Proportional to 6,265.83, 9,398.76 and 2,567.25

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Solution

The fourth proportional to 6,265.83, 9,398.76 and 2,567.25 is: 3,850.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.83 : 9,398.76 = 2,567.25 : x
  2. Step 2: Convert to fraction form
    6,265.83/9,398.76 = 2,567.25/x
  3. Step 3: Cross multiply
    6,265.83x = 9,398.76 × 2,567.25
  4. Step 4: Simplify right side
    6,265.83x = 24,128,966.61
  5. Step 5: Solve for x
    x = 24,128,966.61/6,265.83
  6. Step 6: Final answer
    x = 3,850.88

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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.