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Finding the Fourth Proportional to 9,634, 14,444.36 and 3,791.28

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Solution

The fourth proportional to 9,634, 14,444.36 and 3,791.28 is: 5,684.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634 : 14,444.36 = 3,791.28 : x
  2. Step 2: Convert to fraction form
    9,634/14,444.36 = 3,791.28/x
  3. Step 3: Cross multiply
    9,634x = 14,444.36 × 3,791.28
  4. Step 4: Simplify right side
    9,634x = 54,762,613.18
  5. Step 5: Solve for x
    x = 54,762,613.18/9,634
  6. Step 6: Final answer
    x = 5,684.31

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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.