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Finding the Fourth Proportional to 9,671.57, 13,349.14 and 5,896.81

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Solution

The fourth proportional to 9,671.57, 13,349.14 and 5,896.81 is: 8,139.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.57 : 13,349.14 = 5,896.81 : x
  2. Step 2: Convert to fraction form
    9,671.57/13,349.14 = 5,896.81/x
  3. Step 3: Cross multiply
    9,671.57x = 13,349.14 × 5,896.81
  4. Step 4: Simplify right side
    9,671.57x = 78,717,353.50
  5. Step 5: Solve for x
    x = 78,717,353.50/9,671.57
  6. Step 6: Final answer
    x = 8,139.05

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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.