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Finding the Fourth Proportional to 6,893.30, 9,667.90 and 6,893.30

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Solution

The fourth proportional to 6,893.30, 9,667.90 and 6,893.30 is: 9,667.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.30 : 9,667.90 = 6,893.30 : x
  2. Step 2: Convert to fraction form
    6,893.30/9,667.90 = 6,893.30/x
  3. Step 3: Cross multiply
    6,893.30x = 9,667.90 × 6,893.30
  4. Step 4: Simplify right side
    6,893.30x = 66,643,735.07
  5. Step 5: Solve for x
    x = 66,643,735.07/6,893.30
  6. Step 6: Final answer
    x = 9,667.90

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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.