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Finding the Fourth Proportional to 6,156.33, 9,233.14 and 1,772.83

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Solution

The fourth proportional to 6,156.33, 9,233.14 and 1,772.83 is: 2,658.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.33 : 9,233.14 = 1,772.83 : x
  2. Step 2: Convert to fraction form
    6,156.33/9,233.14 = 1,772.83/x
  3. Step 3: Cross multiply
    6,156.33x = 9,233.14 × 1,772.83
  4. Step 4: Simplify right side
    6,156.33x = 16,368,798.02
  5. Step 5: Solve for x
    x = 16,368,798.02/6,156.33
  6. Step 6: Final answer
    x = 2,658.86

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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.