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Finding the Fourth Proportional to 6,391.49, 9,585.95 and 2,231.69

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Solution

The fourth proportional to 6,391.49, 9,585.95 and 2,231.69 is: 3,347.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.49 : 9,585.95 = 2,231.69 : x
  2. Step 2: Convert to fraction form
    6,391.49/9,585.95 = 2,231.69/x
  3. Step 3: Cross multiply
    6,391.49x = 9,585.95 × 2,231.69
  4. Step 4: Simplify right side
    6,391.49x = 21,392,809.67
  5. Step 5: Solve for x
    x = 21,392,809.67/6,391.49
  6. Step 6: Final answer
    x = 3,347.08

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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.