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Finding the Fourth Proportional to 6,209.74, 9,314.40 and 2,699.74

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Solution

The fourth proportional to 6,209.74, 9,314.40 and 2,699.74 is: 4,049.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.74 : 9,314.40 = 2,699.74 : x
  2. Step 2: Convert to fraction form
    6,209.74/9,314.40 = 2,699.74/x
  3. Step 3: Cross multiply
    6,209.74x = 9,314.40 × 2,699.74
  4. Step 4: Simplify right side
    6,209.74x = 25,146,458.26
  5. Step 5: Solve for x
    x = 25,146,458.26/6,209.74
  6. Step 6: Final answer
    x = 4,049.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.