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Finding the Fourth Proportional to 9,266.28, 13,908.06 and 7,659.24

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Solution

The fourth proportional to 9,266.28, 13,908.06 and 7,659.24 is: 11,496.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.28 : 13,908.06 = 7,659.24 : x
  2. Step 2: Convert to fraction form
    9,266.28/13,908.06 = 7,659.24/x
  3. Step 3: Cross multiply
    9,266.28x = 13,908.06 × 7,659.24
  4. Step 4: Simplify right side
    9,266.28x = 106,525,169.47
  5. Step 5: Solve for x
    x = 106,525,169.47/9,266.28
  6. Step 6: Final answer
    x = 11,496.00

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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.