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Finding the Fourth Proportional to 6,157.16, 9,237.52 and 2,872.20

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Solution

The fourth proportional to 6,157.16, 9,237.52 and 2,872.20 is: 4,309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.16 : 9,237.52 = 2,872.20 : x
  2. Step 2: Convert to fraction form
    6,157.16/9,237.52 = 2,872.20/x
  3. Step 3: Cross multiply
    6,157.16x = 9,237.52 × 2,872.20
  4. Step 4: Simplify right side
    6,157.16x = 26,532,004.94
  5. Step 5: Solve for x
    x = 26,532,004.94/6,157.16
  6. Step 6: Final answer
    x = 4,309.13

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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.