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Finding the Fourth Proportional to 9,772.62, 14,665.48 and 3,616.62

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Solution

The fourth proportional to 9,772.62, 14,665.48 and 3,616.62 is: 5,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.62 : 14,665.48 = 3,616.62 : x
  2. Step 2: Convert to fraction form
    9,772.62/14,665.48 = 3,616.62/x
  3. Step 3: Cross multiply
    9,772.62x = 14,665.48 × 3,616.62
  4. Step 4: Simplify right side
    9,772.62x = 53,039,468.28
  5. Step 5: Solve for x
    x = 53,039,468.28/9,772.62
  6. Step 6: Final answer
    x = 5,427.35

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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.