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Finding the Fourth Proportional to 8,961.94, 13,443.14 and 2,388.12

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Solution

The fourth proportional to 8,961.94, 13,443.14 and 2,388.12 is: 3,582.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,961.94 : 13,443.14 = 2,388.12 : x
  2. Step 2: Convert to fraction form
    8,961.94/13,443.14 = 2,388.12/x
  3. Step 3: Cross multiply
    8,961.94x = 13,443.14 × 2,388.12
  4. Step 4: Simplify right side
    8,961.94x = 32,103,831.50
  5. Step 5: Solve for x
    x = 32,103,831.50/8,961.94
  6. Step 6: Final answer
    x = 3,582.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.