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Finding the Fourth Proportional to 6,278.11, 9,405.69 and 2,940.24

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Solution

The fourth proportional to 6,278.11, 9,405.69 and 2,940.24 is: 4,404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.11 : 9,405.69 = 2,940.24 : x
  2. Step 2: Convert to fraction form
    6,278.11/9,405.69 = 2,940.24/x
  3. Step 3: Cross multiply
    6,278.11x = 9,405.69 × 2,940.24
  4. Step 4: Simplify right side
    6,278.11x = 27,654,931.59
  5. Step 5: Solve for x
    x = 27,654,931.59/6,278.11
  6. Step 6: Final answer
    x = 4,404.98

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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.