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Finding the Fourth Proportional to 6,522.69, 9,785.86 and 3,191.16

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Solution

The fourth proportional to 6,522.69, 9,785.86 and 3,191.16 is: 4,787.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.69 : 9,785.86 = 3,191.16 : x
  2. Step 2: Convert to fraction form
    6,522.69/9,785.86 = 3,191.16/x
  3. Step 3: Cross multiply
    6,522.69x = 9,785.86 × 3,191.16
  4. Step 4: Simplify right side
    6,522.69x = 31,228,245.00
  5. Step 5: Solve for x
    x = 31,228,245.00/6,522.69
  6. Step 6: Final answer
    x = 4,787.63

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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.