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Finding the Fourth Proportional to 6,689.12, 9,230.72 and 3,705.08

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Solution

The fourth proportional to 6,689.12, 9,230.72 and 3,705.08 is: 5,112.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.12 : 9,230.72 = 3,705.08 : x
  2. Step 2: Convert to fraction form
    6,689.12/9,230.72 = 3,705.08/x
  3. Step 3: Cross multiply
    6,689.12x = 9,230.72 × 3,705.08
  4. Step 4: Simplify right side
    6,689.12x = 34,200,556.06
  5. Step 5: Solve for x
    x = 34,200,556.06/6,689.12
  6. Step 6: Final answer
    x = 5,112.86

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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.