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Finding the Fourth Proportional to 9,882.40, 14,823.60 and 9,229.60

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Solution

The fourth proportional to 9,882.40, 14,823.60 and 9,229.60 is: 13,844.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.40 : 14,823.60 = 9,229.60 : x
  2. Step 2: Convert to fraction form
    9,882.40/14,823.60 = 9,229.60/x
  3. Step 3: Cross multiply
    9,882.40x = 14,823.60 × 9,229.60
  4. Step 4: Simplify right side
    9,882.40x = 136,815,898.56
  5. Step 5: Solve for x
    x = 136,815,898.56/9,882.40
  6. Step 6: Final answer
    x = 13,844.40

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.