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Finding the Fourth Proportional to 6,213.32, 9,316.41 and 2,052.18

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Solution

The fourth proportional to 6,213.32, 9,316.41 and 2,052.18 is: 3,077.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.32 : 9,316.41 = 2,052.18 : x
  2. Step 2: Convert to fraction form
    6,213.32/9,316.41 = 2,052.18/x
  3. Step 3: Cross multiply
    6,213.32x = 9,316.41 × 2,052.18
  4. Step 4: Simplify right side
    6,213.32x = 19,118,950.27
  5. Step 5: Solve for x
    x = 19,118,950.27/6,213.32
  6. Step 6: Final answer
    x = 3,077.09

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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.