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Finding the Fourth Proportional to 6,438.30, 8,991.75 and 6,438.30

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Solution

The fourth proportional to 6,438.30, 8,991.75 and 6,438.30 is: 8,991.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.30 : 8,991.75 = 6,438.30 : x
  2. Step 2: Convert to fraction form
    6,438.30/8,991.75 = 6,438.30/x
  3. Step 3: Cross multiply
    6,438.30x = 8,991.75 × 6,438.30
  4. Step 4: Simplify right side
    6,438.30x = 57,891,584.03
  5. Step 5: Solve for x
    x = 57,891,584.03/6,438.30
  6. Step 6: Final answer
    x = 8,991.75

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.