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Finding the Fourth Proportional to 9,685.98, 14,496.57 and 8,515.26

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Solution

The fourth proportional to 9,685.98, 14,496.57 and 8,515.26 is: 12,744.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.98 : 14,496.57 = 8,515.26 : x
  2. Step 2: Convert to fraction form
    9,685.98/14,496.57 = 8,515.26/x
  3. Step 3: Cross multiply
    9,685.98x = 14,496.57 × 8,515.26
  4. Step 4: Simplify right side
    9,685.98x = 123,442,062.66
  5. Step 5: Solve for x
    x = 123,442,062.66/9,685.98
  6. Step 6: Final answer
    x = 12,744.41

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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.