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Finding the Fourth Proportional to 9,228.42, 13,841.13 and 2,653.11

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Solution

The fourth proportional to 9,228.42, 13,841.13 and 2,653.11 is: 3,979.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.42 : 13,841.13 = 2,653.11 : x
  2. Step 2: Convert to fraction form
    9,228.42/13,841.13 = 2,653.11/x
  3. Step 3: Cross multiply
    9,228.42x = 13,841.13 × 2,653.11
  4. Step 4: Simplify right side
    9,228.42x = 36,722,040.41
  5. Step 5: Solve for x
    x = 36,722,040.41/9,228.42
  6. Step 6: Final answer
    x = 3,979.23

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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.