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Finding the Fourth Proportional to 9,185.20, 12,667.59 and 7,938.61

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Solution

The fourth proportional to 9,185.20, 12,667.59 and 7,938.61 is: 10,948.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.20 : 12,667.59 = 7,938.61 : x
  2. Step 2: Convert to fraction form
    9,185.20/12,667.59 = 7,938.61/x
  3. Step 3: Cross multiply
    9,185.20x = 12,667.59 × 7,938.61
  4. Step 4: Simplify right side
    9,185.20x = 100,563,024.98
  5. Step 5: Solve for x
    x = 100,563,024.98/9,185.20
  6. Step 6: Final answer
    x = 10,948.38

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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.