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Finding the Fourth Proportional to 9,216.72, 13,825.07 and 2,291.22

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Solution

The fourth proportional to 9,216.72, 13,825.07 and 2,291.22 is: 3,436.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.72 : 13,825.07 = 2,291.22 : x
  2. Step 2: Convert to fraction form
    9,216.72/13,825.07 = 2,291.22/x
  3. Step 3: Cross multiply
    9,216.72x = 13,825.07 × 2,291.22
  4. Step 4: Simplify right side
    9,216.72x = 31,676,282.61
  5. Step 5: Solve for x
    x = 31,676,282.61/9,216.72
  6. Step 6: Final answer
    x = 3,436.83

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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.