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Finding the Fourth Proportional to 9,292.80, 13,942.08 and 6,522.24

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Solution

The fourth proportional to 9,292.80, 13,942.08 and 6,522.24 is: 9,785.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.80 : 13,942.08 = 6,522.24 : x
  2. Step 2: Convert to fraction form
    9,292.80/13,942.08 = 6,522.24/x
  3. Step 3: Cross multiply
    9,292.80x = 13,942.08 × 6,522.24
  4. Step 4: Simplify right side
    9,292.80x = 90,933,591.86
  5. Step 5: Solve for x
    x = 90,933,591.86/9,292.80
  6. Step 6: Final answer
    x = 9,785.38

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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.