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Finding the Fourth Proportional to 8,917.42, 12,304.56 and 5,731.42

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Solution

The fourth proportional to 8,917.42, 12,304.56 and 5,731.42 is: 7,908.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,917.42 : 12,304.56 = 5,731.42 : x
  2. Step 2: Convert to fraction form
    8,917.42/12,304.56 = 5,731.42/x
  3. Step 3: Cross multiply
    8,917.42x = 12,304.56 × 5,731.42
  4. Step 4: Simplify right side
    8,917.42x = 70,522,601.28
  5. Step 5: Solve for x
    x = 70,522,601.28/8,917.42
  6. Step 6: Final answer
    x = 7,908.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.