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Finding the Fourth Proportional to 9,161.76, 13,724.32 and 4,224.64

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Solution

The fourth proportional to 9,161.76, 13,724.32 and 4,224.64 is: 6,328.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.76 : 13,724.32 = 4,224.64 : x
  2. Step 2: Convert to fraction form
    9,161.76/13,724.32 = 4,224.64/x
  3. Step 3: Cross multiply
    9,161.76x = 13,724.32 × 4,224.64
  4. Step 4: Simplify right side
    9,161.76x = 57,980,311.24
  5. Step 5: Solve for x
    x = 57,980,311.24/9,161.76
  6. Step 6: Final answer
    x = 6,328.51

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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.