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Finding the Fourth Proportional to 9,494.25, 14,244.44 and 4,564.27

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Solution

The fourth proportional to 9,494.25, 14,244.44 and 4,564.27 is: 6,847.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.25 : 14,244.44 = 4,564.27 : x
  2. Step 2: Convert to fraction form
    9,494.25/14,244.44 = 4,564.27/x
  3. Step 3: Cross multiply
    9,494.25x = 14,244.44 × 4,564.27
  4. Step 4: Simplify right side
    9,494.25x = 65,015,490.04
  5. Step 5: Solve for x
    x = 65,015,490.04/9,494.25
  6. Step 6: Final answer
    x = 6,847.88

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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.