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Finding the Fourth Proportional to 9,150.73, 13,729.71 and 3,886.87

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Solution

The fourth proportional to 9,150.73, 13,729.71 and 3,886.87 is: 5,831.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150.73 : 13,729.71 = 3,886.87 : x
  2. Step 2: Convert to fraction form
    9,150.73/13,729.71 = 3,886.87/x
  3. Step 3: Cross multiply
    9,150.73x = 13,729.71 × 3,886.87
  4. Step 4: Simplify right side
    9,150.73x = 53,365,597.91
  5. Step 5: Solve for x
    x = 53,365,597.91/9,150.73
  6. Step 6: Final answer
    x = 5,831.84

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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.