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Finding the Fourth Proportional to 6,726.24, 9,282.13 and 3,742.00

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Solution

The fourth proportional to 6,726.24, 9,282.13 and 3,742.00 is: 5,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726.24 : 9,282.13 = 3,742.00 : x
  2. Step 2: Convert to fraction form
    6,726.24/9,282.13 = 3,742.00/x
  3. Step 3: Cross multiply
    6,726.24x = 9,282.13 × 3,742.00
  4. Step 4: Simplify right side
    6,726.24x = 34,733,697.90
  5. Step 5: Solve for x
    x = 34,733,697.90/6,726.24
  6. Step 6: Final answer
    x = 5,163.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.