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Finding the Fourth Proportional to 6,108.42, 9,165.50 and 4,237.16

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Solution

The fourth proportional to 6,108.42, 9,165.50 and 4,237.16 is: 6,357.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,108.42 : 9,165.50 = 4,237.16 : x
  2. Step 2: Convert to fraction form
    6,108.42/9,165.50 = 4,237.16/x
  3. Step 3: Cross multiply
    6,108.42x = 9,165.50 × 4,237.16
  4. Step 4: Simplify right side
    6,108.42x = 38,835,689.98
  5. Step 5: Solve for x
    x = 38,835,689.98/6,108.42
  6. Step 6: Final answer
    x = 6,357.73

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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.