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Finding the Fourth Proportional to 9,638.67, 14,458.50 and 2,713.71

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Solution

The fourth proportional to 9,638.67, 14,458.50 and 2,713.71 is: 4,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.67 : 14,458.50 = 2,713.71 : x
  2. Step 2: Convert to fraction form
    9,638.67/14,458.50 = 2,713.71/x
  3. Step 3: Cross multiply
    9,638.67x = 14,458.50 × 2,713.71
  4. Step 4: Simplify right side
    9,638.67x = 39,236,176.04
  5. Step 5: Solve for x
    x = 39,236,176.04/9,638.67
  6. Step 6: Final answer
    x = 4,070.70

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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.