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Finding the Fourth Proportional to 9,684.72, 13,363.32 and 6,099.12

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Solution

The fourth proportional to 9,684.72, 13,363.32 and 6,099.12 is: 8,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.72 : 13,363.32 = 6,099.12 : x
  2. Step 2: Convert to fraction form
    9,684.72/13,363.32 = 6,099.12/x
  3. Step 3: Cross multiply
    9,684.72x = 13,363.32 × 6,099.12
  4. Step 4: Simplify right side
    9,684.72x = 81,504,492.28
  5. Step 5: Solve for x
    x = 81,504,492.28/9,684.72
  6. Step 6: Final answer
    x = 8,415.78

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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.