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Finding the Fourth Proportional to 6,514.87, 9,770.42 and 3,181.06

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Solution

The fourth proportional to 6,514.87, 9,770.42 and 3,181.06 is: 4,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.87 : 9,770.42 = 3,181.06 : x
  2. Step 2: Convert to fraction form
    6,514.87/9,770.42 = 3,181.06/x
  3. Step 3: Cross multiply
    6,514.87x = 9,770.42 × 3,181.06
  4. Step 4: Simplify right side
    6,514.87x = 31,080,298.67
  5. Step 5: Solve for x
    x = 31,080,298.67/6,514.87
  6. Step 6: Final answer
    x = 4,770.67

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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.