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Finding the Fourth Proportional to 6,138.89, 9,207.07 and 5,105.53

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Solution

The fourth proportional to 6,138.89, 9,207.07 and 5,105.53 is: 7,657.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.89 : 9,207.07 = 5,105.53 : x
  2. Step 2: Convert to fraction form
    6,138.89/9,207.07 = 5,105.53/x
  3. Step 3: Cross multiply
    6,138.89x = 9,207.07 × 5,105.53
  4. Step 4: Simplify right side
    6,138.89x = 47,006,970.84
  5. Step 5: Solve for x
    x = 47,006,970.84/6,138.89
  6. Step 6: Final answer
    x = 7,657.24

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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.