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Finding the Fourth Proportional to 6,536.80, 9,809.09 and 2,377.14

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Solution

The fourth proportional to 6,536.80, 9,809.09 and 2,377.14 is: 3,567.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.80 : 9,809.09 = 2,377.14 : x
  2. Step 2: Convert to fraction form
    6,536.80/9,809.09 = 2,377.14/x
  3. Step 3: Cross multiply
    6,536.80x = 9,809.09 × 2,377.14
  4. Step 4: Simplify right side
    6,536.80x = 23,317,580.20
  5. Step 5: Solve for x
    x = 23,317,580.20/6,536.80
  6. Step 6: Final answer
    x = 3,567.12

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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.