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Finding the Fourth Proportional to 6,273.66, 9,410.70 and 2,378.34

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Solution

The fourth proportional to 6,273.66, 9,410.70 and 2,378.34 is: 3,567.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,273.66 : 9,410.70 = 2,378.34 : x
  2. Step 2: Convert to fraction form
    6,273.66/9,410.70 = 2,378.34/x
  3. Step 3: Cross multiply
    6,273.66x = 9,410.70 × 2,378.34
  4. Step 4: Simplify right side
    6,273.66x = 22,381,844.24
  5. Step 5: Solve for x
    x = 22,381,844.24/6,273.66
  6. Step 6: Final answer
    x = 3,567.59

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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.