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Finding the Fourth Proportional to 9,207.38, 12,711 and 7,186.46

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Solution

The fourth proportional to 9,207.38, 12,711 and 7,186.46 is: 9,921.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.38 : 12,711 = 7,186.46 : x
  2. Step 2: Convert to fraction form
    9,207.38/12,711 = 7,186.46/x
  3. Step 3: Cross multiply
    9,207.38x = 12,711 × 7,186.46
  4. Step 4: Simplify right side
    9,207.38x = 91,347,093.06
  5. Step 5: Solve for x
    x = 91,347,093.06/9,207.38
  6. Step 6: Final answer
    x = 9,921.07

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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.