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Finding the Fourth Proportional to 6,985.56, 9,640.38 and 3,841.86

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Solution

The fourth proportional to 6,985.56, 9,640.38 and 3,841.86 is: 5,301.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.56 : 9,640.38 = 3,841.86 : x
  2. Step 2: Convert to fraction form
    6,985.56/9,640.38 = 3,841.86/x
  3. Step 3: Cross multiply
    6,985.56x = 9,640.38 × 3,841.86
  4. Step 4: Simplify right side
    6,985.56x = 37,036,990.31
  5. Step 5: Solve for x
    x = 37,036,990.31/6,985.56
  6. Step 6: Final answer
    x = 5,301.94

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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.