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Finding the Fourth Proportional to 9,856.38, 13,601.72 and 5,380.18

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Solution

The fourth proportional to 9,856.38, 13,601.72 and 5,380.18 is: 7,424.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.38 : 13,601.72 = 5,380.18 : x
  2. Step 2: Convert to fraction form
    9,856.38/13,601.72 = 5,380.18/x
  3. Step 3: Cross multiply
    9,856.38x = 13,601.72 × 5,380.18
  4. Step 4: Simplify right side
    9,856.38x = 73,179,701.91
  5. Step 5: Solve for x
    x = 73,179,701.91/9,856.38
  6. Step 6: Final answer
    x = 7,424.60

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Why These Related Problems?

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