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Finding the Fourth Proportional to 9,229.78, 13,853.90 and 4,856.46

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Solution

The fourth proportional to 9,229.78, 13,853.90 and 4,856.46 is: 7,289.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.78 : 13,853.90 = 4,856.46 : x
  2. Step 2: Convert to fraction form
    9,229.78/13,853.90 = 4,856.46/x
  3. Step 3: Cross multiply
    9,229.78x = 13,853.90 × 4,856.46
  4. Step 4: Simplify right side
    9,229.78x = 67,280,871.38
  5. Step 5: Solve for x
    x = 67,280,871.38/9,229.78
  6. Step 6: Final answer
    x = 7,289.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.