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Finding the Fourth Proportional to 9,227.84, 13,841.82 and 2,302.40

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Solution

The fourth proportional to 9,227.84, 13,841.82 and 2,302.40 is: 3,453.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.84 : 13,841.82 = 2,302.40 : x
  2. Step 2: Convert to fraction form
    9,227.84/13,841.82 = 2,302.40/x
  3. Step 3: Cross multiply
    9,227.84x = 13,841.82 × 2,302.40
  4. Step 4: Simplify right side
    9,227.84x = 31,869,406.37
  5. Step 5: Solve for x
    x = 31,869,406.37/9,227.84
  6. Step 6: Final answer
    x = 3,453.61

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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.