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Finding the Fourth Proportional to 6,318.30, 9,465.26 and 3,536.51

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Solution

The fourth proportional to 6,318.30, 9,465.26 and 3,536.51 is: 5,297.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.30 : 9,465.26 = 3,536.51 : x
  2. Step 2: Convert to fraction form
    6,318.30/9,465.26 = 3,536.51/x
  3. Step 3: Cross multiply
    6,318.30x = 9,465.26 × 3,536.51
  4. Step 4: Simplify right side
    6,318.30x = 33,473,974.88
  5. Step 5: Solve for x
    x = 33,473,974.88/6,318.30
  6. Step 6: Final answer
    x = 5,297.94

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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.