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Finding the Fourth Proportional to 9,218.16, 13,827.57 and 2,644.41

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Solution

The fourth proportional to 9,218.16, 13,827.57 and 2,644.41 is: 3,966.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.16 : 13,827.57 = 2,644.41 : x
  2. Step 2: Convert to fraction form
    9,218.16/13,827.57 = 2,644.41/x
  3. Step 3: Cross multiply
    9,218.16x = 13,827.57 × 2,644.41
  4. Step 4: Simplify right side
    9,218.16x = 36,565,764.38
  5. Step 5: Solve for x
    x = 36,565,764.38/9,218.16
  6. Step 6: Final answer
    x = 3,966.71

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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.