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Finding the Fourth Proportional to 9,237.47, 12,745.71 and 5,204.27

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Solution

The fourth proportional to 9,237.47, 12,745.71 and 5,204.27 is: 7,180.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.47 : 12,745.71 = 5,204.27 : x
  2. Step 2: Convert to fraction form
    9,237.47/12,745.71 = 5,204.27/x
  3. Step 3: Cross multiply
    9,237.47x = 12,745.71 × 5,204.27
  4. Step 4: Simplify right side
    9,237.47x = 66,332,148.05
  5. Step 5: Solve for x
    x = 66,332,148.05/9,237.47
  6. Step 6: Final answer
    x = 7,180.77

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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.