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Finding the Fourth Proportional to 9,811.89, 13,540.44 and 5,335.64

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Solution

The fourth proportional to 9,811.89, 13,540.44 and 5,335.64 is: 7,363.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.89 : 13,540.44 = 5,335.64 : x
  2. Step 2: Convert to fraction form
    9,811.89/13,540.44 = 5,335.64/x
  3. Step 3: Cross multiply
    9,811.89x = 13,540.44 × 5,335.64
  4. Step 4: Simplify right side
    9,811.89x = 72,246,845.58
  5. Step 5: Solve for x
    x = 72,246,845.58/9,811.89
  6. Step 6: Final answer
    x = 7,363.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.