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Finding the Fourth Proportional to 6,500.17, 9,762.68 and 4,039.57

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Solution

The fourth proportional to 6,500.17, 9,762.68 and 4,039.57 is: 6,067.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.17 : 9,762.68 = 4,039.57 : x
  2. Step 2: Convert to fraction form
    6,500.17/9,762.68 = 4,039.57/x
  3. Step 3: Cross multiply
    6,500.17x = 9,762.68 × 4,039.57
  4. Step 4: Simplify right side
    6,500.17x = 39,437,029.25
  5. Step 5: Solve for x
    x = 39,437,029.25/6,500.17
  6. Step 6: Final answer
    x = 6,067.08

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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.