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Finding the Fourth Proportional to 10,181.71, 15,251.68 and 6,009.09

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Solution

The fourth proportional to 10,181.71, 15,251.68 and 6,009.09 is: 9,001.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.71 : 15,251.68 = 6,009.09 : x
  2. Step 2: Convert to fraction form
    10,181.71/15,251.68 = 6,009.09/x
  3. Step 3: Cross multiply
    10,181.71x = 15,251.68 × 6,009.09
  4. Step 4: Simplify right side
    10,181.71x = 91,648,717.77
  5. Step 5: Solve for x
    x = 91,648,717.77/10,181.71
  6. Step 6: Final answer
    x = 9,001.31

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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.