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Finding the Fourth Proportional to 6,971.57, 9,620.76 and 3,827.75

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Solution

The fourth proportional to 6,971.57, 9,620.76 and 3,827.75 is: 5,282.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.57 : 9,620.76 = 3,827.75 : x
  2. Step 2: Convert to fraction form
    6,971.57/9,620.76 = 3,827.75/x
  3. Step 3: Cross multiply
    6,971.57x = 9,620.76 × 3,827.75
  4. Step 4: Simplify right side
    6,971.57x = 36,825,844.95
  5. Step 5: Solve for x
    x = 36,825,844.95/6,971.57
  6. Step 6: Final answer
    x = 5,282.29

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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.