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Finding the Fourth Proportional to 6,689.36, 9,222.57 and 5,755.19

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Solution

The fourth proportional to 6,689.36, 9,222.57 and 5,755.19 is: 7,934.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.36 : 9,222.57 = 5,755.19 : x
  2. Step 2: Convert to fraction form
    6,689.36/9,222.57 = 5,755.19/x
  3. Step 3: Cross multiply
    6,689.36x = 9,222.57 × 5,755.19
  4. Step 4: Simplify right side
    6,689.36x = 53,077,606.28
  5. Step 5: Solve for x
    x = 53,077,606.28/6,689.36
  6. Step 6: Final answer
    x = 7,934.63

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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.