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Finding the Fourth Proportional to 6,211.49, 9,313.99 and 2,312.69

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Solution

The fourth proportional to 6,211.49, 9,313.99 and 2,312.69 is: 3,467.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.49 : 9,313.99 = 2,312.69 : x
  2. Step 2: Convert to fraction form
    6,211.49/9,313.99 = 2,312.69/x
  3. Step 3: Cross multiply
    6,211.49x = 9,313.99 × 2,312.69
  4. Step 4: Simplify right side
    6,211.49x = 21,540,319.18
  5. Step 5: Solve for x
    x = 21,540,319.18/6,211.49
  6. Step 6: Final answer
    x = 3,467.82

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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.