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Finding the Fourth Proportional to 6,222.64, 9,333.96 and 5,911.20

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Solution

The fourth proportional to 6,222.64, 9,333.96 and 5,911.20 is: 8,866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.64 : 9,333.96 = 5,911.20 : x
  2. Step 2: Convert to fraction form
    6,222.64/9,333.96 = 5,911.20/x
  3. Step 3: Cross multiply
    6,222.64x = 9,333.96 × 5,911.20
  4. Step 4: Simplify right side
    6,222.64x = 55,174,904.35
  5. Step 5: Solve for x
    x = 55,174,904.35/6,222.64
  6. Step 6: Final answer
    x = 8,866.80

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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.