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Finding the Fourth Proportional to 9,946.56, 13,720.52 and 6,214.08

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Solution

The fourth proportional to 9,946.56, 13,720.52 and 6,214.08 is: 8,571.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.56 : 13,720.52 = 6,214.08 : x
  2. Step 2: Convert to fraction form
    9,946.56/13,720.52 = 6,214.08/x
  3. Step 3: Cross multiply
    9,946.56x = 13,720.52 × 6,214.08
  4. Step 4: Simplify right side
    9,946.56x = 85,260,408.92
  5. Step 5: Solve for x
    x = 85,260,408.92/9,946.56
  6. Step 6: Final answer
    x = 8,571.85

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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.