Home / 9,760.38-14,643-3,837.66

Finding the Fourth Proportional to 9,760.38, 14,643 and 3,837.66

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Solution

The fourth proportional to 9,760.38, 14,643 and 3,837.66 is: 5,757.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.38 : 14,643 = 3,837.66 : x
  2. Step 2: Convert to fraction form
    9,760.38/14,643 = 3,837.66/x
  3. Step 3: Cross multiply
    9,760.38x = 14,643 × 3,837.66
  4. Step 4: Simplify right side
    9,760.38x = 56,194,855.38
  5. Step 5: Solve for x
    x = 56,194,855.38/9,760.38
  6. Step 6: Final answer
    x = 5,757.45

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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.