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Finding the Fourth Proportional to 6,214.68, 9,315.18 and 3,435.12

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Solution

The fourth proportional to 6,214.68, 9,315.18 and 3,435.12 is: 5,148.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.68 : 9,315.18 = 3,435.12 : x
  2. Step 2: Convert to fraction form
    6,214.68/9,315.18 = 3,435.12/x
  3. Step 3: Cross multiply
    6,214.68x = 9,315.18 × 3,435.12
  4. Step 4: Simplify right side
    6,214.68x = 31,998,761.12
  5. Step 5: Solve for x
    x = 31,998,761.12/6,214.68
  6. Step 6: Final answer
    x = 5,148.90

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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.