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Finding the Fourth Proportional to 6,900.46, 9,522.54 and 4,067.40

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Solution

The fourth proportional to 6,900.46, 9,522.54 and 4,067.40 is: 5,612.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.46 : 9,522.54 = 4,067.40 : x
  2. Step 2: Convert to fraction form
    6,900.46/9,522.54 = 4,067.40/x
  3. Step 3: Cross multiply
    6,900.46x = 9,522.54 × 4,067.40
  4. Step 4: Simplify right side
    6,900.46x = 38,731,979.20
  5. Step 5: Solve for x
    x = 38,731,979.20/6,900.46
  6. Step 6: Final answer
    x = 5,612.96

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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.