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Finding the Fourth Proportional to 6,726.89, 9,284.09 and 4,038.29

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Solution

The fourth proportional to 6,726.89, 9,284.09 and 4,038.29 is: 5,573.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726.89 : 9,284.09 = 4,038.29 : x
  2. Step 2: Convert to fraction form
    6,726.89/9,284.09 = 4,038.29/x
  3. Step 3: Cross multiply
    6,726.89x = 9,284.09 × 4,038.29
  4. Step 4: Simplify right side
    6,726.89x = 37,491,781.19
  5. Step 5: Solve for x
    x = 37,491,781.19/6,726.89
  6. Step 6: Final answer
    x = 5,573.42

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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.