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Finding the Fourth Proportional to 9,215.50, 12,713.01 and 6,232.38

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Solution

The fourth proportional to 9,215.50, 12,713.01 and 6,232.38 is: 8,597.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,215.50 : 12,713.01 = 6,232.38 : x
  2. Step 2: Convert to fraction form
    9,215.50/12,713.01 = 6,232.38/x
  3. Step 3: Cross multiply
    9,215.50x = 12,713.01 × 6,232.38
  4. Step 4: Simplify right side
    9,215.50x = 79,232,309.26
  5. Step 5: Solve for x
    x = 79,232,309.26/9,215.50
  6. Step 6: Final answer
    x = 8,597.72

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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.