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Finding the Fourth Proportional to 6,213.44, 9,312.60 and 5,557.34

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Solution

The fourth proportional to 6,213.44, 9,312.60 and 5,557.34 is: 8,329.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.44 : 9,312.60 = 5,557.34 : x
  2. Step 2: Convert to fraction form
    6,213.44/9,312.60 = 5,557.34/x
  3. Step 3: Cross multiply
    6,213.44x = 9,312.60 × 5,557.34
  4. Step 4: Simplify right side
    6,213.44x = 51,753,284.48
  5. Step 5: Solve for x
    x = 51,753,284.48/6,213.44
  6. Step 6: Final answer
    x = 8,329.25

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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.