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Finding the Fourth Proportional to 9,232.67, 13,852.47 and 5,537.56

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Solution

The fourth proportional to 9,232.67, 13,852.47 and 5,537.56 is: 8,308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.67 : 13,852.47 = 5,537.56 : x
  2. Step 2: Convert to fraction form
    9,232.67/13,852.47 = 5,537.56/x
  3. Step 3: Cross multiply
    9,232.67x = 13,852.47 × 5,537.56
  4. Step 4: Simplify right side
    9,232.67x = 76,708,883.77
  5. Step 5: Solve for x
    x = 76,708,883.77/9,232.67
  6. Step 6: Final answer
    x = 8,308.42

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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.