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Finding the Fourth Proportional to 6,157.12, 9,237.06 and 1,774.24

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Solution

The fourth proportional to 6,157.12, 9,237.06 and 1,774.24 is: 2,661.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.12 : 9,237.06 = 1,774.24 : x
  2. Step 2: Convert to fraction form
    6,157.12/9,237.06 = 1,774.24/x
  3. Step 3: Cross multiply
    6,157.12x = 9,237.06 × 1,774.24
  4. Step 4: Simplify right side
    6,157.12x = 16,388,761.33
  5. Step 5: Solve for x
    x = 16,388,761.33/6,157.12
  6. Step 6: Final answer
    x = 2,661.76

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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.