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Finding the Fourth Proportional to 6,157.55, 9,239.97 and 2,264.69

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Solution

The fourth proportional to 6,157.55, 9,239.97 and 2,264.69 is: 3,398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.55 : 9,239.97 = 2,264.69 : x
  2. Step 2: Convert to fraction form
    6,157.55/9,239.97 = 2,264.69/x
  3. Step 3: Cross multiply
    6,157.55x = 9,239.97 × 2,264.69
  4. Step 4: Simplify right side
    6,157.55x = 20,925,699.25
  5. Step 5: Solve for x
    x = 20,925,699.25/6,157.55
  6. Step 6: Final answer
    x = 3,398.38

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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.