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Finding the Fourth Proportional to 6,726.68, 9,276.40 and 4,037.48

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Solution

The fourth proportional to 6,726.68, 9,276.40 and 4,037.48 is: 5,567.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726.68 : 9,276.40 = 4,037.48 : x
  2. Step 2: Convert to fraction form
    6,726.68/9,276.40 = 4,037.48/x
  3. Step 3: Cross multiply
    6,726.68x = 9,276.40 × 4,037.48
  4. Step 4: Simplify right side
    6,726.68x = 37,453,279.47
  5. Step 5: Solve for x
    x = 37,453,279.47/6,726.68
  6. Step 6: Final answer
    x = 5,567.87

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