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Finding the Fourth Proportional to 6,726.31, 9,283.26 and 4,074.10

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Solution

The fourth proportional to 6,726.31, 9,283.26 and 4,074.10 is: 5,622.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726.31 : 9,283.26 = 4,074.10 : x
  2. Step 2: Convert to fraction form
    6,726.31/9,283.26 = 4,074.10/x
  3. Step 3: Cross multiply
    6,726.31x = 9,283.26 × 4,074.10
  4. Step 4: Simplify right side
    6,726.31x = 37,820,929.57
  5. Step 5: Solve for x
    x = 37,820,929.57/6,726.31
  6. Step 6: Final answer
    x = 5,622.83

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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.