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Finding the Fourth Proportional to 6,498.22, 8,967.57 and 3,514.06

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Solution

The fourth proportional to 6,498.22, 8,967.57 and 3,514.06 is: 4,849.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.22 : 8,967.57 = 3,514.06 : x
  2. Step 2: Convert to fraction form
    6,498.22/8,967.57 = 3,514.06/x
  3. Step 3: Cross multiply
    6,498.22x = 8,967.57 × 3,514.06
  4. Step 4: Simplify right side
    6,498.22x = 31,512,579.03
  5. Step 5: Solve for x
    x = 31,512,579.03/6,498.22
  6. Step 6: Final answer
    x = 4,849.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.