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Finding the Fourth Proportional to 9,227.90, 13,841.04 and 2,302.40

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Solution

The fourth proportional to 9,227.90, 13,841.04 and 2,302.40 is: 3,453.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.90 : 13,841.04 = 2,302.40 : x
  2. Step 2: Convert to fraction form
    9,227.90/13,841.04 = 2,302.40/x
  3. Step 3: Cross multiply
    9,227.90x = 13,841.04 × 2,302.40
  4. Step 4: Simplify right side
    9,227.90x = 31,867,610.50
  5. Step 5: Solve for x
    x = 31,867,610.50/9,227.90
  6. Step 6: Final answer
    x = 3,453.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.