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Finding the Fourth Proportional to 6,522.64, 9,785.40 and 1,906

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Solution

The fourth proportional to 6,522.64, 9,785.40 and 1,906 is: 2,859.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.64 : 9,785.40 = 1,906 : x
  2. Step 2: Convert to fraction form
    6,522.64/9,785.40 = 1,906/x
  3. Step 3: Cross multiply
    6,522.64x = 9,785.40 × 1,906
  4. Step 4: Simplify right side
    6,522.64x = 18,650,972.40
  5. Step 5: Solve for x
    x = 18,650,972.40/6,522.64
  6. Step 6: Final answer
    x = 2,859.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.