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Finding the Fourth Proportional to 6,102.27, 9,153.20 and 4,128.81

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Solution

The fourth proportional to 6,102.27, 9,153.20 and 4,128.81 is: 6,193.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.27 : 9,153.20 = 4,128.81 : x
  2. Step 2: Convert to fraction form
    6,102.27/9,153.20 = 4,128.81/x
  3. Step 3: Cross multiply
    6,102.27x = 9,153.20 × 4,128.81
  4. Step 4: Simplify right side
    6,102.27x = 37,791,799.69
  5. Step 5: Solve for x
    x = 37,791,799.69/6,102.27
  6. Step 6: Final answer
    x = 6,193.07

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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.