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Finding the Fourth Proportional to 9,443.65, 14,167.19 and 3,893.91

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Solution

The fourth proportional to 9,443.65, 14,167.19 and 3,893.91 is: 5,841.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.65 : 14,167.19 = 3,893.91 : x
  2. Step 2: Convert to fraction form
    9,443.65/14,167.19 = 3,893.91/x
  3. Step 3: Cross multiply
    9,443.65x = 14,167.19 × 3,893.91
  4. Step 4: Simplify right side
    9,443.65x = 55,165,772.55
  5. Step 5: Solve for x
    x = 55,165,772.55/9,443.65
  6. Step 6: Final answer
    x = 5,841.57

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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.