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Finding the Fourth Proportional to 9,371.50, 12,934.72 and 5,967.78

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Solution

The fourth proportional to 9,371.50, 12,934.72 and 5,967.78 is: 8,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,371.50 : 12,934.72 = 5,967.78 : x
  2. Step 2: Convert to fraction form
    9,371.50/12,934.72 = 5,967.78/x
  3. Step 3: Cross multiply
    9,371.50x = 12,934.72 × 5,967.78
  4. Step 4: Simplify right side
    9,371.50x = 77,191,522.28
  5. Step 5: Solve for x
    x = 77,191,522.28/9,371.50
  6. Step 6: Final answer
    x = 8,236.84

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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.