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Finding the Fourth Proportional to 6,514.84, 9,774.33 and 2,131.30

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Solution

The fourth proportional to 6,514.84, 9,774.33 and 2,131.30 is: 3,197.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.84 : 9,774.33 = 2,131.30 : x
  2. Step 2: Convert to fraction form
    6,514.84/9,774.33 = 2,131.30/x
  3. Step 3: Cross multiply
    6,514.84x = 9,774.33 × 2,131.30
  4. Step 4: Simplify right side
    6,514.84x = 20,832,029.53
  5. Step 5: Solve for x
    x = 20,832,029.53/6,514.84
  6. Step 6: Final answer
    x = 3,197.63

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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.