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Finding the Fourth Proportional to 7,044.72, 9,721.36 and 3,857.42

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Solution

The fourth proportional to 7,044.72, 9,721.36 and 3,857.42 is: 5,323.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,044.72 : 9,721.36 = 3,857.42 : x
  2. Step 2: Convert to fraction form
    7,044.72/9,721.36 = 3,857.42/x
  3. Step 3: Cross multiply
    7,044.72x = 9,721.36 × 3,857.42
  4. Step 4: Simplify right side
    7,044.72x = 37,499,368.49
  5. Step 5: Solve for x
    x = 37,499,368.49/7,044.72
  6. Step 6: Final answer
    x = 5,323.05

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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.