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Finding the Fourth Proportional to 9,354.80, 12,909.34 and 5,375.84

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Solution

The fourth proportional to 9,354.80, 12,909.34 and 5,375.84 is: 7,418.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.80 : 12,909.34 = 5,375.84 : x
  2. Step 2: Convert to fraction form
    9,354.80/12,909.34 = 5,375.84/x
  3. Step 3: Cross multiply
    9,354.80x = 12,909.34 × 5,375.84
  4. Step 4: Simplify right side
    9,354.80x = 69,398,546.35
  5. Step 5: Solve for x
    x = 69,398,546.35/9,354.80
  6. Step 6: Final answer
    x = 7,418.50

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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.