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Finding the Fourth Proportional to 6,448.37, 9,675.29 and 3,523.26

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Solution

The fourth proportional to 6,448.37, 9,675.29 and 3,523.26 is: 5,286.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.37 : 9,675.29 = 3,523.26 : x
  2. Step 2: Convert to fraction form
    6,448.37/9,675.29 = 3,523.26/x
  3. Step 3: Cross multiply
    6,448.37x = 9,675.29 × 3,523.26
  4. Step 4: Simplify right side
    6,448.37x = 34,088,552.91
  5. Step 5: Solve for x
    x = 34,088,552.91/6,448.37
  6. Step 6: Final answer
    x = 5,286.38

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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.