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Finding the Fourth Proportional to 6,123.90, 9,178.65 and 3,200.70

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Solution

The fourth proportional to 6,123.90, 9,178.65 and 3,200.70 is: 4,797.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.90 : 9,178.65 = 3,200.70 : x
  2. Step 2: Convert to fraction form
    6,123.90/9,178.65 = 3,200.70/x
  3. Step 3: Cross multiply
    6,123.90x = 9,178.65 × 3,200.70
  4. Step 4: Simplify right side
    6,123.90x = 29,378,105.06
  5. Step 5: Solve for x
    x = 29,378,105.06/6,123.90
  6. Step 6: Final answer
    x = 4,797.29

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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.