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Finding the Fourth Proportional to 6,921.84, 9,552.27 and 3,937.74

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Solution

The fourth proportional to 6,921.84, 9,552.27 and 3,937.74 is: 5,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921.84 : 9,552.27 = 3,937.74 : x
  2. Step 2: Convert to fraction form
    6,921.84/9,552.27 = 3,937.74/x
  3. Step 3: Cross multiply
    6,921.84x = 9,552.27 × 3,937.74
  4. Step 4: Simplify right side
    6,921.84x = 37,614,355.67
  5. Step 5: Solve for x
    x = 37,614,355.67/6,921.84
  6. Step 6: Final answer
    x = 5,434.16

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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.