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Finding the Fourth Proportional to 6,358.87, 9,538.94 and 2,357.33

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Solution

The fourth proportional to 6,358.87, 9,538.94 and 2,357.33 is: 3,536.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.87 : 9,538.94 = 2,357.33 : x
  2. Step 2: Convert to fraction form
    6,358.87/9,538.94 = 2,357.33/x
  3. Step 3: Cross multiply
    6,358.87x = 9,538.94 × 2,357.33
  4. Step 4: Simplify right side
    6,358.87x = 22,486,429.43
  5. Step 5: Solve for x
    x = 22,486,429.43/6,358.87
  6. Step 6: Final answer
    x = 3,536.23

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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.