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Finding the Fourth Proportional to 9,101.48, 13,652.52 and 2,527.73

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Solution

The fourth proportional to 9,101.48, 13,652.52 and 2,527.73 is: 3,791.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.48 : 13,652.52 = 2,527.73 : x
  2. Step 2: Convert to fraction form
    9,101.48/13,652.52 = 2,527.73/x
  3. Step 3: Cross multiply
    9,101.48x = 13,652.52 × 2,527.73
  4. Step 4: Simplify right side
    9,101.48x = 34,509,884.38
  5. Step 5: Solve for x
    x = 34,509,884.38/9,101.48
  6. Step 6: Final answer
    x = 3,791.68

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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.