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Finding the Fourth Proportional to 9,720.72, 13,410.90 and 5,940.86

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Solution

The fourth proportional to 9,720.72, 13,410.90 and 5,940.86 is: 8,196.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.72 : 13,410.90 = 5,940.86 : x
  2. Step 2: Convert to fraction form
    9,720.72/13,410.90 = 5,940.86/x
  3. Step 3: Cross multiply
    9,720.72x = 13,410.90 × 5,940.86
  4. Step 4: Simplify right side
    9,720.72x = 79,672,212.32
  5. Step 5: Solve for x
    x = 79,672,212.32/9,720.72
  6. Step 6: Final answer
    x = 8,196.12

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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.