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Finding the Fourth Proportional to 6,514.32, 9,771.49 and 2,354.32

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Solution

The fourth proportional to 6,514.32, 9,771.49 and 2,354.32 is: 3,531.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.32 : 9,771.49 = 2,354.32 : x
  2. Step 2: Convert to fraction form
    6,514.32/9,771.49 = 2,354.32/x
  3. Step 3: Cross multiply
    6,514.32x = 9,771.49 × 2,354.32
  4. Step 4: Simplify right side
    6,514.32x = 23,005,214.34
  5. Step 5: Solve for x
    x = 23,005,214.34/6,514.32
  6. Step 6: Final answer
    x = 3,531.48

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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.