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Finding the Fourth Proportional to 9,292.80, 13,939.20 and 7,834.80

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Solution

The fourth proportional to 9,292.80, 13,939.20 and 7,834.80 is: 11,752.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.80 : 13,939.20 = 7,834.80 : x
  2. Step 2: Convert to fraction form
    9,292.80/13,939.20 = 7,834.80/x
  3. Step 3: Cross multiply
    9,292.80x = 13,939.20 × 7,834.80
  4. Step 4: Simplify right side
    9,292.80x = 109,210,844.16
  5. Step 5: Solve for x
    x = 109,210,844.16/9,292.80
  6. Step 6: Final answer
    x = 11,752.20

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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.