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Finding the Fourth Proportional to 9,667.50, 13,347.59 and 7,425.38

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Solution

The fourth proportional to 9,667.50, 13,347.59 and 7,425.38 is: 10,251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.50 : 13,347.59 = 7,425.38 : x
  2. Step 2: Convert to fraction form
    9,667.50/13,347.59 = 7,425.38/x
  3. Step 3: Cross multiply
    9,667.50x = 13,347.59 × 7,425.38
  4. Step 4: Simplify right side
    9,667.50x = 99,110,823.97
  5. Step 5: Solve for x
    x = 99,110,823.97/9,667.50
  6. Step 6: Final answer
    x = 10,251.96

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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.