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Finding the Fourth Proportional to 9,693.24, 14,546.31 and 3,537.24

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Solution

The fourth proportional to 9,693.24, 14,546.31 and 3,537.24 is: 5,308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.24 : 14,546.31 = 3,537.24 : x
  2. Step 2: Convert to fraction form
    9,693.24/14,546.31 = 3,537.24/x
  3. Step 3: Cross multiply
    9,693.24x = 14,546.31 × 3,537.24
  4. Step 4: Simplify right side
    9,693.24x = 51,453,789.58
  5. Step 5: Solve for x
    x = 51,453,789.58/9,693.24
  6. Step 6: Final answer
    x = 5,308.21

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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.