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Finding the Fourth Proportional to 9,297.54, 13,945.23 and 2,371.86

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Solution

The fourth proportional to 9,297.54, 13,945.23 and 2,371.86 is: 3,557.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.54 : 13,945.23 = 2,371.86 : x
  2. Step 2: Convert to fraction form
    9,297.54/13,945.23 = 2,371.86/x
  3. Step 3: Cross multiply
    9,297.54x = 13,945.23 × 2,371.86
  4. Step 4: Simplify right side
    9,297.54x = 33,076,133.23
  5. Step 5: Solve for x
    x = 33,076,133.23/9,297.54
  6. Step 6: Final answer
    x = 3,557.51

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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.