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Finding the Fourth Proportional to 6,156.13, 9,235.65 and 1,996.14

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Solution

The fourth proportional to 6,156.13, 9,235.65 and 1,996.14 is: 2,994.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.13 : 9,235.65 = 1,996.14 : x
  2. Step 2: Convert to fraction form
    6,156.13/9,235.65 = 1,996.14/x
  3. Step 3: Cross multiply
    6,156.13x = 9,235.65 × 1,996.14
  4. Step 4: Simplify right side
    6,156.13x = 18,435,640.41
  5. Step 5: Solve for x
    x = 18,435,640.41/6,156.13
  6. Step 6: Final answer
    x = 2,994.68

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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.