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Finding the Fourth Proportional to 9,566.32, 14,340.84 and 3,408.88

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Solution

The fourth proportional to 9,566.32, 14,340.84 and 3,408.88 is: 5,110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.32 : 14,340.84 = 3,408.88 : x
  2. Step 2: Convert to fraction form
    9,566.32/14,340.84 = 3,408.88/x
  3. Step 3: Cross multiply
    9,566.32x = 14,340.84 × 3,408.88
  4. Step 4: Simplify right side
    9,566.32x = 48,886,202.66
  5. Step 5: Solve for x
    x = 48,886,202.66/9,566.32
  6. Step 6: Final answer
    x = 5,110.24

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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.