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Finding the Fourth Proportional to 6,826.65, 9,420.57 and 3,842.64

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Solution

The fourth proportional to 6,826.65, 9,420.57 and 3,842.64 is: 5,302.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.65 : 9,420.57 = 3,842.64 : x
  2. Step 2: Convert to fraction form
    6,826.65/9,420.57 = 3,842.64/x
  3. Step 3: Cross multiply
    6,826.65x = 9,420.57 × 3,842.64
  4. Step 4: Simplify right side
    6,826.65x = 36,199,859.10
  5. Step 5: Solve for x
    x = 36,199,859.10/6,826.65
  6. Step 6: Final answer
    x = 5,302.73

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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.