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Finding the Fourth Proportional to 6,338.97, 8,735.44 and 4,567.23

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Solution

The fourth proportional to 6,338.97, 8,735.44 and 4,567.23 is: 6,293.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.97 : 8,735.44 = 4,567.23 : x
  2. Step 2: Convert to fraction form
    6,338.97/8,735.44 = 4,567.23/x
  3. Step 3: Cross multiply
    6,338.97x = 8,735.44 × 4,567.23
  4. Step 4: Simplify right side
    6,338.97x = 39,896,763.63
  5. Step 5: Solve for x
    x = 39,896,763.63/6,338.97
  6. Step 6: Final answer
    x = 6,293.89

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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.