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Finding the Fourth Proportional to 6,935.52, 9,571 and 4,141.04

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Solution

The fourth proportional to 6,935.52, 9,571 and 4,141.04 is: 5,714.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.52 : 9,571 = 4,141.04 : x
  2. Step 2: Convert to fraction form
    6,935.52/9,571 = 4,141.04/x
  3. Step 3: Cross multiply
    6,935.52x = 9,571 × 4,141.04
  4. Step 4: Simplify right side
    6,935.52x = 39,633,893.84
  5. Step 5: Solve for x
    x = 39,633,893.84/6,935.52
  6. Step 6: Final answer
    x = 5,714.62

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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.