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Finding the Fourth Proportional to 6,498.35, 8,967.72 and 3,514.19

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Solution

The fourth proportional to 6,498.35, 8,967.72 and 3,514.19 is: 4,849.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.35 : 8,967.72 = 3,514.19 : x
  2. Step 2: Convert to fraction form
    6,498.35/8,967.72 = 3,514.19/x
  3. Step 3: Cross multiply
    6,498.35x = 8,967.72 × 3,514.19
  4. Step 4: Simplify right side
    6,498.35x = 31,514,240.29
  5. Step 5: Solve for x
    x = 31,514,240.29/6,498.35
  6. Step 6: Final answer
    x = 4,849.58

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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.