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Finding the Fourth Proportional to 30,902.14, 46,350.82 and 9,843.38

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Solution

The fourth proportional to 30,902.14, 46,350.82 and 9,843.38 is: 14,764.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902.14 : 46,350.82 = 9,843.38 : x
  2. Step 2: Convert to fraction form
    30,902.14/46,350.82 = 9,843.38/x
  3. Step 3: Cross multiply
    30,902.14x = 46,350.82 × 9,843.38
  4. Step 4: Simplify right side
    30,902.14x = 456,248,734.57
  5. Step 5: Solve for x
    x = 456,248,734.57/30,902.14
  6. Step 6: Final answer
    x = 14,764.31

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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.