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Finding the Fourth Proportional to 6,509.78, 9,757.38 and 2,609.66

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Solution

The fourth proportional to 6,509.78, 9,757.38 and 2,609.66 is: 3,911.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.78 : 9,757.38 = 2,609.66 : x
  2. Step 2: Convert to fraction form
    6,509.78/9,757.38 = 2,609.66/x
  3. Step 3: Cross multiply
    6,509.78x = 9,757.38 × 2,609.66
  4. Step 4: Simplify right side
    6,509.78x = 25,463,444.29
  5. Step 5: Solve for x
    x = 25,463,444.29/6,509.78
  6. Step 6: Final answer
    x = 3,911.57

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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.