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Finding the Fourth Proportional to 6,921.64, 9,552.09 and 3,937.40

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Solution

The fourth proportional to 6,921.64, 9,552.09 and 3,937.40 is: 5,433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921.64 : 9,552.09 = 3,937.40 : x
  2. Step 2: Convert to fraction form
    6,921.64/9,552.09 = 3,937.40/x
  3. Step 3: Cross multiply
    6,921.64x = 9,552.09 × 3,937.40
  4. Step 4: Simplify right side
    6,921.64x = 37,610,399.17
  5. Step 5: Solve for x
    x = 37,610,399.17/6,921.64
  6. Step 6: Final answer
    x = 5,433.74

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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.