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Finding the Fourth Proportional to 9,311.09, 12,848.22 and 5,331.96

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Solution

The fourth proportional to 9,311.09, 12,848.22 and 5,331.96 is: 7,357.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.09 : 12,848.22 = 5,331.96 : x
  2. Step 2: Convert to fraction form
    9,311.09/12,848.22 = 5,331.96/x
  3. Step 3: Cross multiply
    9,311.09x = 12,848.22 × 5,331.96
  4. Step 4: Simplify right side
    9,311.09x = 68,506,195.11
  5. Step 5: Solve for x
    x = 68,506,195.11/9,311.09
  6. Step 6: Final answer
    x = 7,357.49

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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.