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Finding the Fourth Proportional to 8,993.84, 12,403.14 and 5,963.64

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Solution

The fourth proportional to 8,993.84, 12,403.14 and 5,963.64 is: 8,224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.84 : 12,403.14 = 5,963.64 : x
  2. Step 2: Convert to fraction form
    8,993.84/12,403.14 = 5,963.64/x
  3. Step 3: Cross multiply
    8,993.84x = 12,403.14 × 5,963.64
  4. Step 4: Simplify right side
    8,993.84x = 73,967,861.83
  5. Step 5: Solve for x
    x = 73,967,861.83/8,993.84
  6. Step 6: Final answer
    x = 8,224.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.