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Finding the Fourth Proportional to 9,388.67, 12,961.04 and 5,409.02

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Solution

The fourth proportional to 9,388.67, 12,961.04 and 5,409.02 is: 7,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,388.67 : 12,961.04 = 5,409.02 : x
  2. Step 2: Convert to fraction form
    9,388.67/12,961.04 = 5,409.02/x
  3. Step 3: Cross multiply
    9,388.67x = 12,961.04 × 5,409.02
  4. Step 4: Simplify right side
    9,388.67x = 70,106,524.58
  5. Step 5: Solve for x
    x = 70,106,524.58/9,388.67
  6. Step 6: Final answer
    x = 7,467.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.