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Finding the Fourth Proportional to 9,211.66, 13,811.11 and 4,832.19

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Solution

The fourth proportional to 9,211.66, 13,811.11 and 4,832.19 is: 7,244.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.66 : 13,811.11 = 4,832.19 : x
  2. Step 2: Convert to fraction form
    9,211.66/13,811.11 = 4,832.19/x
  3. Step 3: Cross multiply
    9,211.66x = 13,811.11 × 4,832.19
  4. Step 4: Simplify right side
    9,211.66x = 66,737,895.55
  5. Step 5: Solve for x
    x = 66,737,895.55/9,211.66
  6. Step 6: Final answer
    x = 7,244.94

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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.