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Finding the Fourth Proportional to 9,717.96, 13,400.16 and 6,568.68

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Solution

The fourth proportional to 9,717.96, 13,400.16 and 6,568.68 is: 9,057.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.96 : 13,400.16 = 6,568.68 : x
  2. Step 2: Convert to fraction form
    9,717.96/13,400.16 = 6,568.68/x
  3. Step 3: Cross multiply
    9,717.96x = 13,400.16 × 6,568.68
  4. Step 4: Simplify right side
    9,717.96x = 88,021,362.99
  5. Step 5: Solve for x
    x = 88,021,362.99/9,717.96
  6. Step 6: Final answer
    x = 9,057.60

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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.