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Finding the Fourth Proportional to 6,971.57, 9,620.17 and 3,986.93

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Solution

The fourth proportional to 6,971.57, 9,620.17 and 3,986.93 is: 5,501.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,971.57 : 9,620.17 = 3,986.93 : x
  2. Step 2: Convert to fraction form
    6,971.57/9,620.17 = 3,986.93/x
  3. Step 3: Cross multiply
    6,971.57x = 9,620.17 × 3,986.93
  4. Step 4: Simplify right side
    6,971.57x = 38,354,896.28
  5. Step 5: Solve for x
    x = 38,354,896.28/6,971.57
  6. Step 6: Final answer
    x = 5,501.62

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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.