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Finding the Fourth Proportional to 9,791.65, 14,689.82 and 3,217.47

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Solution

The fourth proportional to 9,791.65, 14,689.82 and 3,217.47 is: 4,826.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.65 : 14,689.82 = 3,217.47 : x
  2. Step 2: Convert to fraction form
    9,791.65/14,689.82 = 3,217.47/x
  3. Step 3: Cross multiply
    9,791.65x = 14,689.82 × 3,217.47
  4. Step 4: Simplify right side
    9,791.65x = 47,264,055.16
  5. Step 5: Solve for x
    x = 47,264,055.16/9,791.65
  6. Step 6: Final answer
    x = 4,826.98

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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.