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Finding the Fourth Proportional to 10,069.62, 15,114.04 and 6,181.62

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Solution

The fourth proportional to 10,069.62, 15,114.04 and 6,181.62 is: 9,278.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069.62 : 15,114.04 = 6,181.62 : x
  2. Step 2: Convert to fraction form
    10,069.62/15,114.04 = 6,181.62/x
  3. Step 3: Cross multiply
    10,069.62x = 15,114.04 × 6,181.62
  4. Step 4: Simplify right side
    10,069.62x = 93,429,251.94
  5. Step 5: Solve for x
    x = 93,429,251.94/10,069.62
  6. Step 6: Final answer
    x = 9,278.33

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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.