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Finding the Fourth Proportional to 9,456.87, 14,170.67 and 6,496.74

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Solution

The fourth proportional to 9,456.87, 14,170.67 and 6,496.74 is: 9,735.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.87 : 14,170.67 = 6,496.74 : x
  2. Step 2: Convert to fraction form
    9,456.87/14,170.67 = 6,496.74/x
  3. Step 3: Cross multiply
    9,456.87x = 14,170.67 × 6,496.74
  4. Step 4: Simplify right side
    9,456.87x = 92,063,158.62
  5. Step 5: Solve for x
    x = 92,063,158.62/9,456.87
  6. Step 6: Final answer
    x = 9,735.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.