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Finding the Fourth Proportional to 6,823.79, 9,417.96 and 3,952.10

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Solution

The fourth proportional to 6,823.79, 9,417.96 and 3,952.10 is: 5,454.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.79 : 9,417.96 = 3,952.10 : x
  2. Step 2: Convert to fraction form
    6,823.79/9,417.96 = 3,952.10/x
  3. Step 3: Cross multiply
    6,823.79x = 9,417.96 × 3,952.10
  4. Step 4: Simplify right side
    6,823.79x = 37,220,743.26
  5. Step 5: Solve for x
    x = 37,220,743.26/6,823.79
  6. Step 6: Final answer
    x = 5,454.56

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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.