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Finding the Fourth Proportional to 6,123.90, 9,179.64 and 2,424.15

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Solution

The fourth proportional to 6,123.90, 9,179.64 and 2,424.15 is: 3,633.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.90 : 9,179.64 = 2,424.15 : x
  2. Step 2: Convert to fraction form
    6,123.90/9,179.64 = 2,424.15/x
  3. Step 3: Cross multiply
    6,123.90x = 9,179.64 × 2,424.15
  4. Step 4: Simplify right side
    6,123.90x = 22,252,824.31
  5. Step 5: Solve for x
    x = 22,252,824.31/6,123.90
  6. Step 6: Final answer
    x = 3,633.77

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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.