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Finding the Fourth Proportional to 6,178.10, 9,267.15 and 5,497.70

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Solution

The fourth proportional to 6,178.10, 9,267.15 and 5,497.70 is: 8,246.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.10 : 9,267.15 = 5,497.70 : x
  2. Step 2: Convert to fraction form
    6,178.10/9,267.15 = 5,497.70/x
  3. Step 3: Cross multiply
    6,178.10x = 9,267.15 × 5,497.70
  4. Step 4: Simplify right side
    6,178.10x = 50,948,010.56
  5. Step 5: Solve for x
    x = 50,948,010.56/6,178.10
  6. Step 6: Final answer
    x = 8,246.55

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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.