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Finding the Fourth Proportional to 6,908.85, 9,534.27 and 3,924.74

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Solution

The fourth proportional to 6,908.85, 9,534.27 and 3,924.74 is: 5,416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.85 : 9,534.27 = 3,924.74 : x
  2. Step 2: Convert to fraction form
    6,908.85/9,534.27 = 3,924.74/x
  3. Step 3: Cross multiply
    6,908.85x = 9,534.27 × 3,924.74
  4. Step 4: Simplify right side
    6,908.85x = 37,419,483.17
  5. Step 5: Solve for x
    x = 37,419,483.17/6,908.85
  6. Step 6: Final answer
    x = 5,416.17

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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.