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Finding the Fourth Proportional to 6,214.99, 9,322.18 and 2,319.09

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Solution

The fourth proportional to 6,214.99, 9,322.18 and 2,319.09 is: 3,478.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.99 : 9,322.18 = 2,319.09 : x
  2. Step 2: Convert to fraction form
    6,214.99/9,322.18 = 2,319.09/x
  3. Step 3: Cross multiply
    6,214.99x = 9,322.18 × 2,319.09
  4. Step 4: Simplify right side
    6,214.99x = 21,618,974.42
  5. Step 5: Solve for x
    x = 21,618,974.42/6,214.99
  6. Step 6: Final answer
    x = 3,478.52

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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.