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Finding the Fourth Proportional to 6,156.52, 9,235.02 and 1,997.08

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Solution

The fourth proportional to 6,156.52, 9,235.02 and 1,997.08 is: 2,995.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.52 : 9,235.02 = 1,997.08 : x
  2. Step 2: Convert to fraction form
    6,156.52/9,235.02 = 1,997.08/x
  3. Step 3: Cross multiply
    6,156.52x = 9,235.02 × 1,997.08
  4. Step 4: Simplify right side
    6,156.52x = 18,443,073.74
  5. Step 5: Solve for x
    x = 18,443,073.74/6,156.52
  6. Step 6: Final answer
    x = 2,995.70

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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.