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Finding the Fourth Proportional to 9,537.13, 14,309.63 and 5,149.42

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Solution

The fourth proportional to 9,537.13, 14,309.63 and 5,149.42 is: 7,726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.13 : 14,309.63 = 5,149.42 : x
  2. Step 2: Convert to fraction form
    9,537.13/14,309.63 = 5,149.42/x
  3. Step 3: Cross multiply
    9,537.13x = 14,309.63 × 5,149.42
  4. Step 4: Simplify right side
    9,537.13x = 73,686,197.62
  5. Step 5: Solve for x
    x = 73,686,197.62/9,537.13
  6. Step 6: Final answer
    x = 7,726.25

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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.