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Finding the Fourth Proportional to 9,851.31, 14,781.03 and 5,463.54

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Solution

The fourth proportional to 9,851.31, 14,781.03 and 5,463.54 is: 8,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.31 : 14,781.03 = 5,463.54 : x
  2. Step 2: Convert to fraction form
    9,851.31/14,781.03 = 5,463.54/x
  3. Step 3: Cross multiply
    9,851.31x = 14,781.03 × 5,463.54
  4. Step 4: Simplify right side
    9,851.31x = 80,756,748.65
  5. Step 5: Solve for x
    x = 80,756,748.65/9,851.31
  6. Step 6: Final answer
    x = 8,197.56

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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.