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Finding the Fourth Proportional to 6,509.72, 9,770.16 and 2,616.92

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Solution

The fourth proportional to 6,509.72, 9,770.16 and 2,616.92 is: 3,927.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.72 : 9,770.16 = 2,616.92 : x
  2. Step 2: Convert to fraction form
    6,509.72/9,770.16 = 2,616.92/x
  3. Step 3: Cross multiply
    6,509.72x = 9,770.16 × 2,616.92
  4. Step 4: Simplify right side
    6,509.72x = 25,567,727.11
  5. Step 5: Solve for x
    x = 25,567,727.11/6,509.72
  6. Step 6: Final answer
    x = 3,927.62

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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.