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Finding the Fourth Proportional to 6,564.85, 9,836.96 and 4,095.97

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Solution

The fourth proportional to 6,564.85, 9,836.96 and 4,095.97 is: 6,137.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.85 : 9,836.96 = 4,095.97 : x
  2. Step 2: Convert to fraction form
    6,564.85/9,836.96 = 4,095.97/x
  3. Step 3: Cross multiply
    6,564.85x = 9,836.96 × 4,095.97
  4. Step 4: Simplify right side
    6,564.85x = 40,291,872.57
  5. Step 5: Solve for x
    x = 40,291,872.57/6,564.85
  6. Step 6: Final answer
    x = 6,137.52

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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.