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Finding the Fourth Proportional to 7,215.62, 9,956.13 and 4,232.39

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Solution

The fourth proportional to 7,215.62, 9,956.13 and 4,232.39 is: 5,839.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,215.62 : 9,956.13 = 4,232.39 : x
  2. Step 2: Convert to fraction form
    7,215.62/9,956.13 = 4,232.39/x
  3. Step 3: Cross multiply
    7,215.62x = 9,956.13 × 4,232.39
  4. Step 4: Simplify right side
    7,215.62x = 42,138,225.05
  5. Step 5: Solve for x
    x = 42,138,225.05/7,215.62
  6. Step 6: Final answer
    x = 5,839.86

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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.