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Finding the Fourth Proportional to 9,216.41, 13,827.05 and 4,832.69

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Solution

The fourth proportional to 9,216.41, 13,827.05 and 4,832.69 is: 7,250.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.41 : 13,827.05 = 4,832.69 : x
  2. Step 2: Convert to fraction form
    9,216.41/13,827.05 = 4,832.69/x
  3. Step 3: Cross multiply
    9,216.41x = 13,827.05 × 4,832.69
  4. Step 4: Simplify right side
    9,216.41x = 66,821,752.97
  5. Step 5: Solve for x
    x = 66,821,752.97/9,216.41
  6. Step 6: Final answer
    x = 7,250.31

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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.