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Finding the Fourth Proportional to 6,826.80, 9,423.24 and 4,309.20

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Solution

The fourth proportional to 6,826.80, 9,423.24 and 4,309.20 is: 5,948.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.80 : 9,423.24 = 4,309.20 : x
  2. Step 2: Convert to fraction form
    6,826.80/9,423.24 = 4,309.20/x
  3. Step 3: Cross multiply
    6,826.80x = 9,423.24 × 4,309.20
  4. Step 4: Simplify right side
    6,826.80x = 40,606,625.81
  5. Step 5: Solve for x
    x = 40,606,625.81/6,826.80
  6. Step 6: Final answer
    x = 5,948.12

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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.