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Finding the Fourth Proportional to 9,322.33, 12,865.12 and 5,344.20

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Solution

The fourth proportional to 9,322.33, 12,865.12 and 5,344.20 is: 7,375.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.33 : 12,865.12 = 5,344.20 : x
  2. Step 2: Convert to fraction form
    9,322.33/12,865.12 = 5,344.20/x
  3. Step 3: Cross multiply
    9,322.33x = 12,865.12 × 5,344.20
  4. Step 4: Simplify right side
    9,322.33x = 68,753,774.30
  5. Step 5: Solve for x
    x = 68,753,774.30/9,322.33
  6. Step 6: Final answer
    x = 7,375.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.