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Finding the Fourth Proportional to 6,140.52, 9,214.08 and 2,677.56

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Solution

The fourth proportional to 6,140.52, 9,214.08 and 2,677.56 is: 4,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.52 : 9,214.08 = 2,677.56 : x
  2. Step 2: Convert to fraction form
    6,140.52/9,214.08 = 2,677.56/x
  3. Step 3: Cross multiply
    6,140.52x = 9,214.08 × 2,677.56
  4. Step 4: Simplify right side
    6,140.52x = 24,671,252.04
  5. Step 5: Solve for x
    x = 24,671,252.04/6,140.52
  6. Step 6: Final answer
    x = 4,017.78

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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.