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Finding the Fourth Proportional to 9,212.38, 12,715.31 and 5,235.68

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Solution

The fourth proportional to 9,212.38, 12,715.31 and 5,235.68 is: 7,226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.38 : 12,715.31 = 5,235.68 : x
  2. Step 2: Convert to fraction form
    9,212.38/12,715.31 = 5,235.68/x
  3. Step 3: Cross multiply
    9,212.38x = 12,715.31 × 5,235.68
  4. Step 4: Simplify right side
    9,212.38x = 66,573,294.26
  5. Step 5: Solve for x
    x = 66,573,294.26/9,212.38
  6. Step 6: Final answer
    x = 7,226.50

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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.