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Finding the Fourth Proportional to 6,614.40, 9,902.16 and 4,141.56

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Solution

The fourth proportional to 6,614.40, 9,902.16 and 4,141.56 is: 6,200.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.40 : 9,902.16 = 4,141.56 : x
  2. Step 2: Convert to fraction form
    6,614.40/9,902.16 = 4,141.56/x
  3. Step 3: Cross multiply
    6,614.40x = 9,902.16 × 4,141.56
  4. Step 4: Simplify right side
    6,614.40x = 41,010,389.77
  5. Step 5: Solve for x
    x = 41,010,389.77/6,614.40
  6. Step 6: Final answer
    x = 6,200.17

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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.