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Finding the Fourth Proportional to 6,985.74, 9,640.37 and 3,799.07

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Solution

The fourth proportional to 6,985.74, 9,640.37 and 3,799.07 is: 5,242.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.74 : 9,640.37 = 3,799.07 : x
  2. Step 2: Convert to fraction form
    6,985.74/9,640.37 = 3,799.07/x
  3. Step 3: Cross multiply
    6,985.74x = 9,640.37 × 3,799.07
  4. Step 4: Simplify right side
    6,985.74x = 36,624,373.26
  5. Step 5: Solve for x
    x = 36,624,373.26/6,985.74
  6. Step 6: Final answer
    x = 5,242.73

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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.