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Finding the Fourth Proportional to 9,856.28, 13,601.43 and 5,380.22

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Solution

The fourth proportional to 9,856.28, 13,601.43 and 5,380.22 is: 7,424.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.28 : 13,601.43 = 5,380.22 : x
  2. Step 2: Convert to fraction form
    9,856.28/13,601.43 = 5,380.22/x
  3. Step 3: Cross multiply
    9,856.28x = 13,601.43 × 5,380.22
  4. Step 4: Simplify right side
    9,856.28x = 73,178,719.72
  5. Step 5: Solve for x
    x = 73,178,719.72/9,856.28
  6. Step 6: Final answer
    x = 7,424.58

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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.