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Finding the Fourth Proportional to 9,682.80, 14,487.54 and 5,736.17

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Solution

The fourth proportional to 9,682.80, 14,487.54 and 5,736.17 is: 8,582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.80 : 14,487.54 = 5,736.17 : x
  2. Step 2: Convert to fraction form
    9,682.80/14,487.54 = 5,736.17/x
  3. Step 3: Cross multiply
    9,682.80x = 14,487.54 × 5,736.17
  4. Step 4: Simplify right side
    9,682.80x = 83,103,039.30
  5. Step 5: Solve for x
    x = 83,103,039.30/9,682.80
  6. Step 6: Final answer
    x = 8,582.55

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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.