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Finding the Fourth Proportional to 9,791.64, 14,689.62 and 3,217.55

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Solution

The fourth proportional to 9,791.64, 14,689.62 and 3,217.55 is: 4,827.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.64 : 14,689.62 = 3,217.55 : x
  2. Step 2: Convert to fraction form
    9,791.64/14,689.62 = 3,217.55/x
  3. Step 3: Cross multiply
    9,791.64x = 14,689.62 × 3,217.55
  4. Step 4: Simplify right side
    9,791.64x = 47,264,513.38
  5. Step 5: Solve for x
    x = 47,264,513.38/9,791.64
  6. Step 6: Final answer
    x = 4,827.03

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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.