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Finding the Fourth Proportional to 6,041.97, 9,063.78 and 5,677.47

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Solution

The fourth proportional to 6,041.97, 9,063.78 and 5,677.47 is: 8,516.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,041.97 : 9,063.78 = 5,677.47 : x
  2. Step 2: Convert to fraction form
    6,041.97/9,063.78 = 5,677.47/x
  3. Step 3: Cross multiply
    6,041.97x = 9,063.78 × 5,677.47
  4. Step 4: Simplify right side
    6,041.97x = 51,459,265.33
  5. Step 5: Solve for x
    x = 51,459,265.33/6,041.97
  6. Step 6: Final answer
    x = 8,516.98

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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.