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Finding the Fourth Proportional to 9,860.88, 14,791.32 and 5,754

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Solution

The fourth proportional to 9,860.88, 14,791.32 and 5,754 is: 8,631

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.88 : 14,791.32 = 5,754 : x
  2. Step 2: Convert to fraction form
    9,860.88/14,791.32 = 5,754/x
  3. Step 3: Cross multiply
    9,860.88x = 14,791.32 × 5,754
  4. Step 4: Simplify right side
    9,860.88x = 85,109,255.28
  5. Step 5: Solve for x
    x = 85,109,255.28/9,860.88
  6. Step 6: Final answer
    x = 8,631

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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.