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Finding the Fourth Proportional to 9,239.31, 12,749.06 and 5,206.23

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Solution

The fourth proportional to 9,239.31, 12,749.06 and 5,206.23 is: 7,183.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.31 : 12,749.06 = 5,206.23 : x
  2. Step 2: Convert to fraction form
    9,239.31/12,749.06 = 5,206.23/x
  3. Step 3: Cross multiply
    9,239.31x = 12,749.06 × 5,206.23
  4. Step 4: Simplify right side
    9,239.31x = 66,374,512.61
  5. Step 5: Solve for x
    x = 66,374,512.61/9,239.31
  6. Step 6: Final answer
    x = 7,183.93

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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.