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Finding the Fourth Proportional to 6,695.64, 9,241.29 and 4,179.24

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Solution

The fourth proportional to 6,695.64, 9,241.29 and 4,179.24 is: 5,768.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.64 : 9,241.29 = 4,179.24 : x
  2. Step 2: Convert to fraction form
    6,695.64/9,241.29 = 4,179.24/x
  3. Step 3: Cross multiply
    6,695.64x = 9,241.29 × 4,179.24
  4. Step 4: Simplify right side
    6,695.64x = 38,621,568.82
  5. Step 5: Solve for x
    x = 38,621,568.82/6,695.64
  6. Step 6: Final answer
    x = 5,768.17

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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.