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Finding the Fourth Proportional to 6,476.88, 9,709.56 and 2,371.92

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Solution

The fourth proportional to 6,476.88, 9,709.56 and 2,371.92 is: 3,555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.88 : 9,709.56 = 2,371.92 : x
  2. Step 2: Convert to fraction form
    6,476.88/9,709.56 = 2,371.92/x
  3. Step 3: Cross multiply
    6,476.88x = 9,709.56 × 2,371.92
  4. Step 4: Simplify right side
    6,476.88x = 23,030,299.56
  5. Step 5: Solve for x
    x = 23,030,299.56/6,476.88
  6. Step 6: Final answer
    x = 3,555.77

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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.