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Finding the Fourth Proportional to 6,609.72, 9,909.12 and 3,097.92

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Solution

The fourth proportional to 6,609.72, 9,909.12 and 3,097.92 is: 4,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,609.72 : 9,909.12 = 3,097.92 : x
  2. Step 2: Convert to fraction form
    6,609.72/9,909.12 = 3,097.92/x
  3. Step 3: Cross multiply
    6,609.72x = 9,909.12 × 3,097.92
  4. Step 4: Simplify right side
    6,609.72x = 30,697,661.03
  5. Step 5: Solve for x
    x = 30,697,661.03/6,609.72
  6. Step 6: Final answer
    x = 4,644.32

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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.