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Finding the Fourth Proportional to 6,823.92, 9,417.24 and 4,029.36

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Solution

The fourth proportional to 6,823.92, 9,417.24 and 4,029.36 is: 5,560.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.92 : 9,417.24 = 4,029.36 : x
  2. Step 2: Convert to fraction form
    6,823.92/9,417.24 = 4,029.36/x
  3. Step 3: Cross multiply
    6,823.92x = 9,417.24 × 4,029.36
  4. Step 4: Simplify right side
    6,823.92x = 37,945,450.17
  5. Step 5: Solve for x
    x = 37,945,450.17/6,823.92
  6. Step 6: Final answer
    x = 5,560.65

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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.