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Finding the Fourth Proportional to 6,456.72, 9,667.68 and 4,104

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Solution

The fourth proportional to 6,456.72, 9,667.68 and 4,104 is: 6,144.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.72 : 9,667.68 = 4,104 : x
  2. Step 2: Convert to fraction form
    6,456.72/9,667.68 = 4,104/x
  3. Step 3: Cross multiply
    6,456.72x = 9,667.68 × 4,104
  4. Step 4: Simplify right side
    6,456.72x = 39,676,158.72
  5. Step 5: Solve for x
    x = 39,676,158.72/6,456.72
  6. Step 6: Final answer
    x = 6,144.94

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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.