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Finding the Fourth Proportional to 9,400.32, 12,972.36 and 5,421.36

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Solution

The fourth proportional to 9,400.32, 12,972.36 and 5,421.36 is: 7,481.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.32 : 12,972.36 = 5,421.36 : x
  2. Step 2: Convert to fraction form
    9,400.32/12,972.36 = 5,421.36/x
  3. Step 3: Cross multiply
    9,400.32x = 12,972.36 × 5,421.36
  4. Step 4: Simplify right side
    9,400.32x = 70,327,833.61
  5. Step 5: Solve for x
    x = 70,327,833.61/9,400.32
  6. Step 6: Final answer
    x = 7,481.43

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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.