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Finding the Fourth Proportional to 9,209.88, 13,803.27 and 3,938.71

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Solution

The fourth proportional to 9,209.88, 13,803.27 and 3,938.71 is: 5,903.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.88 : 13,803.27 = 3,938.71 : x
  2. Step 2: Convert to fraction form
    9,209.88/13,803.27 = 3,938.71/x
  3. Step 3: Cross multiply
    9,209.88x = 13,803.27 × 3,938.71
  4. Step 4: Simplify right side
    9,209.88x = 54,367,077.58
  5. Step 5: Solve for x
    x = 54,367,077.58/9,209.88
  6. Step 6: Final answer
    x = 5,903.13

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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.