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Finding the Fourth Proportional to 6,514.90, 9,774.17 and 2,135.43

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Solution

The fourth proportional to 6,514.90, 9,774.17 and 2,135.43 is: 3,203.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.90 : 9,774.17 = 2,135.43 : x
  2. Step 2: Convert to fraction form
    6,514.90/9,774.17 = 2,135.43/x
  3. Step 3: Cross multiply
    6,514.90x = 9,774.17 × 2,135.43
  4. Step 4: Simplify right side
    6,514.90x = 20,872,055.84
  5. Step 5: Solve for x
    x = 20,872,055.84/6,514.90
  6. Step 6: Final answer
    x = 3,203.74

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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.