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Finding the Fourth Proportional to 6,212.80, 9,319.20 and 2,316.70

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Solution

The fourth proportional to 6,212.80, 9,319.20 and 2,316.70 is: 3,475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.80 : 9,319.20 = 2,316.70 : x
  2. Step 2: Convert to fraction form
    6,212.80/9,319.20 = 2,316.70/x
  3. Step 3: Cross multiply
    6,212.80x = 9,319.20 × 2,316.70
  4. Step 4: Simplify right side
    6,212.80x = 21,589,790.64
  5. Step 5: Solve for x
    x = 21,589,790.64/6,212.80
  6. Step 6: Final answer
    x = 3,475.05

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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.