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Finding the Fourth Proportional to 9,340.28, 12,894.86 and 6,200.76

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Solution

The fourth proportional to 9,340.28, 12,894.86 and 6,200.76 is: 8,560.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.28 : 12,894.86 = 6,200.76 : x
  2. Step 2: Convert to fraction form
    9,340.28/12,894.86 = 6,200.76/x
  3. Step 3: Cross multiply
    9,340.28x = 12,894.86 × 6,200.76
  4. Step 4: Simplify right side
    9,340.28x = 79,957,932.09
  5. Step 5: Solve for x
    x = 79,957,932.09/9,340.28
  6. Step 6: Final answer
    x = 8,560.55

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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.