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Finding the Fourth Proportional to 8,939.40, 12,292.62 and 7,758.42

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Solution

The fourth proportional to 8,939.40, 12,292.62 and 7,758.42 is: 10,668.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,939.40 : 12,292.62 = 7,758.42 : x
  2. Step 2: Convert to fraction form
    8,939.40/12,292.62 = 7,758.42/x
  3. Step 3: Cross multiply
    8,939.40x = 12,292.62 × 7,758.42
  4. Step 4: Simplify right side
    8,939.40x = 95,371,308.86
  5. Step 5: Solve for x
    x = 95,371,308.86/8,939.40
  6. Step 6: Final answer
    x = 10,668.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.