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Finding the Fourth Proportional to 6,616.68, 9,920.16 and 3,156.36

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Solution

The fourth proportional to 6,616.68, 9,920.16 and 3,156.36 is: 4,732.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.68 : 9,920.16 = 3,156.36 : x
  2. Step 2: Convert to fraction form
    6,616.68/9,920.16 = 3,156.36/x
  3. Step 3: Cross multiply
    6,616.68x = 9,920.16 × 3,156.36
  4. Step 4: Simplify right side
    6,616.68x = 31,311,596.22
  5. Step 5: Solve for x
    x = 31,311,596.22/6,616.68
  6. Step 6: Final answer
    x = 4,732.22

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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.