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Finding the Fourth Proportional to 6,254.41, 9,388.23 and 6,113.24

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Solution

The fourth proportional to 6,254.41, 9,388.23 and 6,113.24 is: 9,176.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.41 : 9,388.23 = 6,113.24 : x
  2. Step 2: Convert to fraction form
    6,254.41/9,388.23 = 6,113.24/x
  3. Step 3: Cross multiply
    6,254.41x = 9,388.23 × 6,113.24
  4. Step 4: Simplify right side
    6,254.41x = 57,392,503.17
  5. Step 5: Solve for x
    x = 57,392,503.17/6,254.41
  6. Step 6: Final answer
    x = 9,176.33

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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.