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Finding the Fourth Proportional to 9,856.21, 13,601.04 and 5,606.71

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Solution

The fourth proportional to 9,856.21, 13,601.04 and 5,606.71 is: 7,736.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.21 : 13,601.04 = 5,606.71 : x
  2. Step 2: Convert to fraction form
    9,856.21/13,601.04 = 5,606.71/x
  3. Step 3: Cross multiply
    9,856.21x = 13,601.04 × 5,606.71
  4. Step 4: Simplify right side
    9,856.21x = 76,257,086.98
  5. Step 5: Solve for x
    x = 76,257,086.98/9,856.21
  6. Step 6: Final answer
    x = 7,736.96

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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.