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Finding the Fourth Proportional to 9,150.71, 13,728.45 and 3,885.90

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Solution

The fourth proportional to 9,150.71, 13,728.45 and 3,885.90 is: 5,829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150.71 : 13,728.45 = 3,885.90 : x
  2. Step 2: Convert to fraction form
    9,150.71/13,728.45 = 3,885.90/x
  3. Step 3: Cross multiply
    9,150.71x = 13,728.45 × 3,885.90
  4. Step 4: Simplify right side
    9,150.71x = 53,347,383.86
  5. Step 5: Solve for x
    x = 53,347,383.86/9,150.71
  6. Step 6: Final answer
    x = 5,829.87

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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.