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Finding the Fourth Proportional to 6,265.47, 9,397.89 and 2,566.77

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Solution

The fourth proportional to 6,265.47, 9,397.89 and 2,566.77 is: 3,850.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.47 : 9,397.89 = 2,566.77 : x
  2. Step 2: Convert to fraction form
    6,265.47/9,397.89 = 2,566.77/x
  3. Step 3: Cross multiply
    6,265.47x = 9,397.89 × 2,566.77
  4. Step 4: Simplify right side
    6,265.47x = 24,122,222.12
  5. Step 5: Solve for x
    x = 24,122,222.12/6,265.47
  6. Step 6: Final answer
    x = 3,850.03

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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.