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Finding the Fourth Proportional to 9,691.72, 14,537.64 and 3,848.31

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Solution

The fourth proportional to 9,691.72, 14,537.64 and 3,848.31 is: 5,772.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.72 : 14,537.64 = 3,848.31 : x
  2. Step 2: Convert to fraction form
    9,691.72/14,537.64 = 3,848.31/x
  3. Step 3: Cross multiply
    9,691.72x = 14,537.64 × 3,848.31
  4. Step 4: Simplify right side
    9,691.72x = 55,945,359.82
  5. Step 5: Solve for x
    x = 55,945,359.82/9,691.72
  6. Step 6: Final answer
    x = 5,772.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.