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Finding the Fourth Proportional to 6,277.14, 9,409.71 and 2,327.34

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Solution

The fourth proportional to 6,277.14, 9,409.71 and 2,327.34 is: 3,488.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.14 : 9,409.71 = 2,327.34 : x
  2. Step 2: Convert to fraction form
    6,277.14/9,409.71 = 2,327.34/x
  3. Step 3: Cross multiply
    6,277.14x = 9,409.71 × 2,327.34
  4. Step 4: Simplify right side
    6,277.14x = 21,899,594.47
  5. Step 5: Solve for x
    x = 21,899,594.47/6,277.14
  6. Step 6: Final answer
    x = 3,488.79

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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.