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Finding the Fourth Proportional to 6,340.93, 9,514.82 and 2,645.70

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Solution

The fourth proportional to 6,340.93, 9,514.82 and 2,645.70 is: 3,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.93 : 9,514.82 = 2,645.70 : x
  2. Step 2: Convert to fraction form
    6,340.93/9,514.82 = 2,645.70/x
  3. Step 3: Cross multiply
    6,340.93x = 9,514.82 × 2,645.70
  4. Step 4: Simplify right side
    6,340.93x = 25,173,355.47
  5. Step 5: Solve for x
    x = 25,173,355.47/6,340.93
  6. Step 6: Final answer
    x = 3,969.98

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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.