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Finding the Fourth Proportional to 6,123.42, 9,179.46 and 3,001.41

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Solution

The fourth proportional to 6,123.42, 9,179.46 and 3,001.41 is: 4,499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.42 : 9,179.46 = 3,001.41 : x
  2. Step 2: Convert to fraction form
    6,123.42/9,179.46 = 3,001.41/x
  3. Step 3: Cross multiply
    6,123.42x = 9,179.46 × 3,001.41
  4. Step 4: Simplify right side
    6,123.42x = 27,551,323.04
  5. Step 5: Solve for x
    x = 27,551,323.04/6,123.42
  6. Step 6: Final answer
    x = 4,499.34

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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.