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Finding the Fourth Proportional to 9,211.35, 12,715.92 and 5,433.24

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Solution

The fourth proportional to 9,211.35, 12,715.92 and 5,433.24 is: 7,500.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.35 : 12,715.92 = 5,433.24 : x
  2. Step 2: Convert to fraction form
    9,211.35/12,715.92 = 5,433.24/x
  3. Step 3: Cross multiply
    9,211.35x = 12,715.92 × 5,433.24
  4. Step 4: Simplify right side
    9,211.35x = 69,088,645.18
  5. Step 5: Solve for x
    x = 69,088,645.18/9,211.35
  6. Step 6: Final answer
    x = 7,500.38

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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.