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Finding the Fourth Proportional to 6,211.36, 9,336.24 and 5,904.16

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Solution

The fourth proportional to 6,211.36, 9,336.24 and 5,904.16 is: 8,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,211.36 : 9,336.24 = 5,904.16 : x
  2. Step 2: Convert to fraction form
    6,211.36/9,336.24 = 5,904.16/x
  3. Step 3: Cross multiply
    6,211.36x = 9,336.24 × 5,904.16
  4. Step 4: Simplify right side
    6,211.36x = 55,122,654.76
  5. Step 5: Solve for x
    x = 55,122,654.76/6,211.36
  6. Step 6: Final answer
    x = 8,874.49

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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.