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Finding the Fourth Proportional to 9,572.50, 13,209.92 and 5,380.76

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Solution

The fourth proportional to 9,572.50, 13,209.92 and 5,380.76 is: 7,425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.50 : 13,209.92 = 5,380.76 : x
  2. Step 2: Convert to fraction form
    9,572.50/13,209.92 = 5,380.76/x
  3. Step 3: Cross multiply
    9,572.50x = 13,209.92 × 5,380.76
  4. Step 4: Simplify right side
    9,572.50x = 71,079,409.14
  5. Step 5: Solve for x
    x = 71,079,409.14/9,572.50
  6. Step 6: Final answer
    x = 7,425.38

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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.