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Finding the Fourth Proportional to 9,231.66, 13,833.27 and 6,266.25

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Solution

The fourth proportional to 9,231.66, 13,833.27 and 6,266.25 is: 9,389.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.66 : 13,833.27 = 6,266.25 : x
  2. Step 2: Convert to fraction form
    9,231.66/13,833.27 = 6,266.25/x
  3. Step 3: Cross multiply
    9,231.66x = 13,833.27 × 6,266.25
  4. Step 4: Simplify right side
    9,231.66x = 86,682,728.14
  5. Step 5: Solve for x
    x = 86,682,728.14/9,231.66
  6. Step 6: Final answer
    x = 9,389.72

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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.