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Finding the Fourth Proportional to 9,519.90, 14,282.25 and 7,687.66

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Solution

The fourth proportional to 9,519.90, 14,282.25 and 7,687.66 is: 11,533.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,519.90 : 14,282.25 = 7,687.66 : x
  2. Step 2: Convert to fraction form
    9,519.90/14,282.25 = 7,687.66/x
  3. Step 3: Cross multiply
    9,519.90x = 14,282.25 × 7,687.66
  4. Step 4: Simplify right side
    9,519.90x = 109,797,082.04
  5. Step 5: Solve for x
    x = 109,797,082.04/9,519.90
  6. Step 6: Final answer
    x = 11,533.43

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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.