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Finding the Fourth Proportional to 9,494.08, 14,244 and 4,880.32

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Solution

The fourth proportional to 9,494.08, 14,244 and 4,880.32 is: 7,321.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.08 : 14,244 = 4,880.32 : x
  2. Step 2: Convert to fraction form
    9,494.08/14,244 = 4,880.32/x
  3. Step 3: Cross multiply
    9,494.08x = 14,244 × 4,880.32
  4. Step 4: Simplify right side
    9,494.08x = 69,515,278.08
  5. Step 5: Solve for x
    x = 69,515,278.08/9,494.08
  6. Step 6: Final answer
    x = 7,321.96

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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.