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Finding the Fourth Proportional to 9,310.71, 13,963.71 and 3,762.39

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Solution

The fourth proportional to 9,310.71, 13,963.71 and 3,762.39 is: 5,642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.71 : 13,963.71 = 3,762.39 : x
  2. Step 2: Convert to fraction form
    9,310.71/13,963.71 = 3,762.39/x
  3. Step 3: Cross multiply
    9,310.71x = 13,963.71 × 3,762.39
  4. Step 4: Simplify right side
    9,310.71x = 52,536,922.87
  5. Step 5: Solve for x
    x = 52,536,922.87/9,310.71
  6. Step 6: Final answer
    x = 5,642.63

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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.