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Finding the Fourth Proportional to 6,985.64, 9,640.05 and 3,960.77

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Solution

The fourth proportional to 6,985.64, 9,640.05 and 3,960.77 is: 5,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.64 : 9,640.05 = 3,960.77 : x
  2. Step 2: Convert to fraction form
    6,985.64/9,640.05 = 3,960.77/x
  3. Step 3: Cross multiply
    6,985.64x = 9,640.05 × 3,960.77
  4. Step 4: Simplify right side
    6,985.64x = 38,181,972.64
  5. Step 5: Solve for x
    x = 38,181,972.64/6,985.64
  6. Step 6: Final answer
    x = 5,465.78

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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.