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Finding the Fourth Proportional to 6,498.21, 8,967.48 and 3,514.05

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Solution

The fourth proportional to 6,498.21, 8,967.48 and 3,514.05 is: 4,849.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.21 : 8,967.48 = 3,514.05 : x
  2. Step 2: Convert to fraction form
    6,498.21/8,967.48 = 3,514.05/x
  3. Step 3: Cross multiply
    6,498.21x = 8,967.48 × 3,514.05
  4. Step 4: Simplify right side
    6,498.21x = 31,512,128.26
  5. Step 5: Solve for x
    x = 31,512,128.26/6,498.21
  6. Step 6: Final answer
    x = 4,849.36

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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.