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Finding the Fourth Proportional to 9,620.08, 14,414.10 and 9,255.40

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Solution

The fourth proportional to 9,620.08, 14,414.10 and 9,255.40 is: 13,867.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.08 : 14,414.10 = 9,255.40 : x
  2. Step 2: Convert to fraction form
    9,620.08/14,414.10 = 9,255.40/x
  3. Step 3: Cross multiply
    9,620.08x = 14,414.10 × 9,255.40
  4. Step 4: Simplify right side
    9,620.08x = 133,408,261.14
  5. Step 5: Solve for x
    x = 133,408,261.14/9,620.08
  6. Step 6: Final answer
    x = 13,867.69

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