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Finding the Fourth Proportional to 6,894.16, 9,522.66 and 5,996.13

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Solution

The fourth proportional to 6,894.16, 9,522.66 and 5,996.13 is: 8,282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.16 : 9,522.66 = 5,996.13 : x
  2. Step 2: Convert to fraction form
    6,894.16/9,522.66 = 5,996.13/x
  3. Step 3: Cross multiply
    6,894.16x = 9,522.66 × 5,996.13
  4. Step 4: Simplify right side
    6,894.16x = 57,099,094.08
  5. Step 5: Solve for x
    x = 57,099,094.08/6,894.16
  6. Step 6: Final answer
    x = 8,282.24

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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.