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Finding the Fourth Proportional to 6,570.37, 9,855.65 and 3,667.15

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Solution

The fourth proportional to 6,570.37, 9,855.65 and 3,667.15 is: 5,500.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.37 : 9,855.65 = 3,667.15 : x
  2. Step 2: Convert to fraction form
    6,570.37/9,855.65 = 3,667.15/x
  3. Step 3: Cross multiply
    6,570.37x = 9,855.65 × 3,667.15
  4. Step 4: Simplify right side
    6,570.37x = 36,142,146.90
  5. Step 5: Solve for x
    x = 36,142,146.90/6,570.37
  6. Step 6: Final answer
    x = 5,500.78

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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.