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Finding the Fourth Proportional to 9,582.30, 14,361.98 and 5,635.44

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Solution

The fourth proportional to 9,582.30, 14,361.98 and 5,635.44 is: 8,446.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.30 : 14,361.98 = 5,635.44 : x
  2. Step 2: Convert to fraction form
    9,582.30/14,361.98 = 5,635.44/x
  3. Step 3: Cross multiply
    9,582.30x = 14,361.98 × 5,635.44
  4. Step 4: Simplify right side
    9,582.30x = 80,936,048.39
  5. Step 5: Solve for x
    x = 80,936,048.39/9,582.30
  6. Step 6: Final answer
    x = 8,446.41

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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.