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Finding the Fourth Proportional to 9,720.92, 13,419.24 and 6,363.86

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Solution

The fourth proportional to 9,720.92, 13,419.24 and 6,363.86 is: 8,784.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720.92 : 13,419.24 = 6,363.86 : x
  2. Step 2: Convert to fraction form
    9,720.92/13,419.24 = 6,363.86/x
  3. Step 3: Cross multiply
    9,720.92x = 13,419.24 × 6,363.86
  4. Step 4: Simplify right side
    9,720.92x = 85,398,164.67
  5. Step 5: Solve for x
    x = 85,398,164.67/9,720.92
  6. Step 6: Final answer
    x = 8,784.99

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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.