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Finding the Fourth Proportional to 10,171.44, 14,034.69 and 5,922.99

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Solution

The fourth proportional to 10,171.44, 14,034.69 and 5,922.99 is: 8,172.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,171.44 : 14,034.69 = 5,922.99 : x
  2. Step 2: Convert to fraction form
    10,171.44/14,034.69 = 5,922.99/x
  3. Step 3: Cross multiply
    10,171.44x = 14,034.69 × 5,922.99
  4. Step 4: Simplify right side
    10,171.44x = 83,127,328.52
  5. Step 5: Solve for x
    x = 83,127,328.52/10,171.44
  6. Step 6: Final answer
    x = 8,172.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.