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Finding the Fourth Proportional to 6,164.33, 9,248.83 and 3,700.87

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Solution

The fourth proportional to 6,164.33, 9,248.83 and 3,700.87 is: 5,552.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.33 : 9,248.83 = 3,700.87 : x
  2. Step 2: Convert to fraction form
    6,164.33/9,248.83 = 3,700.87/x
  3. Step 3: Cross multiply
    6,164.33x = 9,248.83 × 3,700.87
  4. Step 4: Simplify right side
    6,164.33x = 34,228,717.48
  5. Step 5: Solve for x
    x = 34,228,717.48/6,164.33
  6. Step 6: Final answer
    x = 5,552.71

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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.