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Finding the Fourth Proportional to 7,023.80, 9,705.68 and 6,682.19

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Solution

The fourth proportional to 7,023.80, 9,705.68 and 6,682.19 is: 9,233.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.80 : 9,705.68 = 6,682.19 : x
  2. Step 2: Convert to fraction form
    7,023.80/9,705.68 = 6,682.19/x
  3. Step 3: Cross multiply
    7,023.80x = 9,705.68 × 6,682.19
  4. Step 4: Simplify right side
    7,023.80x = 64,855,115.90
  5. Step 5: Solve for x
    x = 64,855,115.90/7,023.80
  6. Step 6: Final answer
    x = 9,233.63

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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.