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Finding the Fourth Proportional to 9,250.46, 12,774.95 and 5,894.78

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Solution

The fourth proportional to 9,250.46, 12,774.95 and 5,894.78 is: 8,140.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.46 : 12,774.95 = 5,894.78 : x
  2. Step 2: Convert to fraction form
    9,250.46/12,774.95 = 5,894.78/x
  3. Step 3: Cross multiply
    9,250.46x = 12,774.95 × 5,894.78
  4. Step 4: Simplify right side
    9,250.46x = 75,305,426.41
  5. Step 5: Solve for x
    x = 75,305,426.41/9,250.46
  6. Step 6: Final answer
    x = 8,140.73

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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.