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Finding the Fourth Proportional to 9,262.65, 13,894.38 and 2,689.11

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Solution

The fourth proportional to 9,262.65, 13,894.38 and 2,689.11 is: 4,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.65 : 13,894.38 = 2,689.11 : x
  2. Step 2: Convert to fraction form
    9,262.65/13,894.38 = 2,689.11/x
  3. Step 3: Cross multiply
    9,262.65x = 13,894.38 × 2,689.11
  4. Step 4: Simplify right side
    9,262.65x = 37,363,516.20
  5. Step 5: Solve for x
    x = 37,363,516.20/9,262.65
  6. Step 6: Final answer
    x = 4,033.78

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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.