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Finding the Fourth Proportional to 6,102.32, 9,133.43 and 4,633.38

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Solution

The fourth proportional to 6,102.32, 9,133.43 and 4,633.38 is: 6,934.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.32 : 9,133.43 = 4,633.38 : x
  2. Step 2: Convert to fraction form
    6,102.32/9,133.43 = 4,633.38/x
  3. Step 3: Cross multiply
    6,102.32x = 9,133.43 × 4,633.38
  4. Step 4: Simplify right side
    6,102.32x = 42,318,628.73
  5. Step 5: Solve for x
    x = 42,318,628.73/6,102.32
  6. Step 6: Final answer
    x = 6,934.85

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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.