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Finding the Fourth Proportional to 9,268.41, 13,898.87 and 5,753.22

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Solution

The fourth proportional to 9,268.41, 13,898.87 and 5,753.22 is: 8,627.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.41 : 13,898.87 = 5,753.22 : x
  2. Step 2: Convert to fraction form
    9,268.41/13,898.87 = 5,753.22/x
  3. Step 3: Cross multiply
    9,268.41x = 13,898.87 × 5,753.22
  4. Step 4: Simplify right side
    9,268.41x = 79,963,256.86
  5. Step 5: Solve for x
    x = 79,963,256.86/9,268.41
  6. Step 6: Final answer
    x = 8,627.51

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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.