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Finding the Fourth Proportional to 9,856.44, 13,604.23 and 5,667.12

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Solution

The fourth proportional to 9,856.44, 13,604.23 and 5,667.12 is: 7,821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.44 : 13,604.23 = 5,667.12 : x
  2. Step 2: Convert to fraction form
    9,856.44/13,604.23 = 5,667.12/x
  3. Step 3: Cross multiply
    9,856.44x = 13,604.23 × 5,667.12
  4. Step 4: Simplify right side
    9,856.44x = 77,096,803.92
  5. Step 5: Solve for x
    x = 77,096,803.92/9,856.44
  6. Step 6: Final answer
    x = 7,821.97

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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.