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Finding the Fourth Proportional to 9,146.28, 13,708.16 and 5,200.84

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Solution

The fourth proportional to 9,146.28, 13,708.16 and 5,200.84 is: 7,794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.28 : 13,708.16 = 5,200.84 : x
  2. Step 2: Convert to fraction form
    9,146.28/13,708.16 = 5,200.84/x
  3. Step 3: Cross multiply
    9,146.28x = 13,708.16 × 5,200.84
  4. Step 4: Simplify right side
    9,146.28x = 71,293,972.12
  5. Step 5: Solve for x
    x = 71,293,972.12/9,146.28
  6. Step 6: Final answer
    x = 7,794.86

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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.