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Finding the Fourth Proportional to 9,791.88, 14,681.13 and 3,217.11

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Solution

The fourth proportional to 9,791.88, 14,681.13 and 3,217.11 is: 4,823.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.88 : 14,681.13 = 3,217.11 : x
  2. Step 2: Convert to fraction form
    9,791.88/14,681.13 = 3,217.11/x
  3. Step 3: Cross multiply
    9,791.88x = 14,681.13 × 3,217.11
  4. Step 4: Simplify right side
    9,791.88x = 47,230,810.13
  5. Step 5: Solve for x
    x = 47,230,810.13/9,791.88
  6. Step 6: Final answer
    x = 4,823.47

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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.