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Finding the Fourth Proportional to 6,514.62, 9,773.75 and 2,135.15

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Solution

The fourth proportional to 6,514.62, 9,773.75 and 2,135.15 is: 3,203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.62 : 9,773.75 = 2,135.15 : x
  2. Step 2: Convert to fraction form
    6,514.62/9,773.75 = 2,135.15/x
  3. Step 3: Cross multiply
    6,514.62x = 9,773.75 × 2,135.15
  4. Step 4: Simplify right side
    6,514.62x = 20,868,422.31
  5. Step 5: Solve for x
    x = 20,868,422.31/6,514.62
  6. Step 6: Final answer
    x = 3,203.32

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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.