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Finding the Fourth Proportional to 6,908.02, 9,536.25 and 4,074.43

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Solution

The fourth proportional to 6,908.02, 9,536.25 and 4,074.43 is: 5,624.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.02 : 9,536.25 = 4,074.43 : x
  2. Step 2: Convert to fraction form
    6,908.02/9,536.25 = 4,074.43/x
  3. Step 3: Cross multiply
    6,908.02x = 9,536.25 × 4,074.43
  4. Step 4: Simplify right side
    6,908.02x = 38,854,783.09
  5. Step 5: Solve for x
    x = 38,854,783.09/6,908.02
  6. Step 6: Final answer
    x = 5,624.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.