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Finding the Fourth Proportional to 6,900.16, 9,522.24 and 4,105.60

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Solution

The fourth proportional to 6,900.16, 9,522.24 and 4,105.60 is: 5,665.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.16 : 9,522.24 = 4,105.60 : x
  2. Step 2: Convert to fraction form
    6,900.16/9,522.24 = 4,105.60/x
  3. Step 3: Cross multiply
    6,900.16x = 9,522.24 × 4,105.60
  4. Step 4: Simplify right side
    6,900.16x = 39,094,508.54
  5. Step 5: Solve for x
    x = 39,094,508.54/6,900.16
  6. Step 6: Final answer
    x = 5,665.74

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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.