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Finding the Fourth Proportional to 6,349.05, 9,525.22 and 3,718.78

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Solution

The fourth proportional to 6,349.05, 9,525.22 and 3,718.78 is: 5,579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.05 : 9,525.22 = 3,718.78 : x
  2. Step 2: Convert to fraction form
    6,349.05/9,525.22 = 3,718.78/x
  3. Step 3: Cross multiply
    6,349.05x = 9,525.22 × 3,718.78
  4. Step 4: Simplify right side
    6,349.05x = 35,422,164.52
  5. Step 5: Solve for x
    x = 35,422,164.52/6,349.05
  6. Step 6: Final answer
    x = 5,579.13

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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.