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Finding the Fourth Proportional to 8,924.31, 12,315.54 and 5,147.42

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Solution

The fourth proportional to 8,924.31, 12,315.54 and 5,147.42 is: 7,103.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,924.31 : 12,315.54 = 5,147.42 : x
  2. Step 2: Convert to fraction form
    8,924.31/12,315.54 = 5,147.42/x
  3. Step 3: Cross multiply
    8,924.31x = 12,315.54 × 5,147.42
  4. Step 4: Simplify right side
    8,924.31x = 63,393,256.91
  5. Step 5: Solve for x
    x = 63,393,256.91/8,924.31
  6. Step 6: Final answer
    x = 7,103.44

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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.