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Finding the Fourth Proportional to 9,452.84, 14,177.34 and 8,984.48

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Solution

The fourth proportional to 9,452.84, 14,177.34 and 8,984.48 is: 13,474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.84 : 14,177.34 = 8,984.48 : x
  2. Step 2: Convert to fraction form
    9,452.84/14,177.34 = 8,984.48/x
  3. Step 3: Cross multiply
    9,452.84x = 14,177.34 × 8,984.48
  4. Step 4: Simplify right side
    9,452.84x = 127,375,956.80
  5. Step 5: Solve for x
    x = 127,375,956.80/9,452.84
  6. Step 6: Final answer
    x = 13,474.89

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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.