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Finding the Fourth Proportional to 9,039.36, 12,467.52 and 5,897.28

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Solution

The fourth proportional to 9,039.36, 12,467.52 and 5,897.28 is: 8,133.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,039.36 : 12,467.52 = 5,897.28 : x
  2. Step 2: Convert to fraction form
    9,039.36/12,467.52 = 5,897.28/x
  3. Step 3: Cross multiply
    9,039.36x = 12,467.52 × 5,897.28
  4. Step 4: Simplify right side
    9,039.36x = 73,524,456.35
  5. Step 5: Solve for x
    x = 73,524,456.35/9,039.36
  6. Step 6: Final answer
    x = 8,133.81

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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.