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Finding the Fourth Proportional to 9,437.92, 14,086.17 and 9,282.20

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Solution

The fourth proportional to 9,437.92, 14,086.17 and 9,282.20 is: 13,853.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.92 : 14,086.17 = 9,282.20 : x
  2. Step 2: Convert to fraction form
    9,437.92/14,086.17 = 9,282.20/x
  3. Step 3: Cross multiply
    9,437.92x = 14,086.17 × 9,282.20
  4. Step 4: Simplify right side
    9,437.92x = 130,750,576.74
  5. Step 5: Solve for x
    x = 130,750,576.74/9,437.92
  6. Step 6: Final answer
    x = 13,853.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.