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Finding the Fourth Proportional to 6,342.08, 9,514.25 and 2,181.01

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Solution

The fourth proportional to 6,342.08, 9,514.25 and 2,181.01 is: 3,271.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.08 : 9,514.25 = 2,181.01 : x
  2. Step 2: Convert to fraction form
    6,342.08/9,514.25 = 2,181.01/x
  3. Step 3: Cross multiply
    6,342.08x = 9,514.25 × 2,181.01
  4. Step 4: Simplify right side
    6,342.08x = 20,750,674.39
  5. Step 5: Solve for x
    x = 20,750,674.39/6,342.08
  6. Step 6: Final answer
    x = 3,271.90

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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.