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Finding the Fourth Proportional to 6,447.90, 9,667.62 and 3,325.38

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Solution

The fourth proportional to 6,447.90, 9,667.62 and 3,325.38 is: 4,985.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.90 : 9,667.62 = 3,325.38 : x
  2. Step 2: Convert to fraction form
    6,447.90/9,667.62 = 3,325.38/x
  3. Step 3: Cross multiply
    6,447.90x = 9,667.62 × 3,325.38
  4. Step 4: Simplify right side
    6,447.90x = 32,148,510.20
  5. Step 5: Solve for x
    x = 32,148,510.20/6,447.90
  6. Step 6: Final answer
    x = 4,985.89

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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.