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Finding the Fourth Proportional to 6,826.73, 9,422.67 and 4,176.36

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Solution

The fourth proportional to 6,826.73, 9,422.67 and 4,176.36 is: 5,764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.73 : 9,422.67 = 4,176.36 : x
  2. Step 2: Convert to fraction form
    6,826.73/9,422.67 = 4,176.36/x
  3. Step 3: Cross multiply
    6,826.73x = 9,422.67 × 4,176.36
  4. Step 4: Simplify right side
    6,826.73x = 39,352,417.64
  5. Step 5: Solve for x
    x = 39,352,417.64/6,826.73
  6. Step 6: Final answer
    x = 5,764.46

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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.