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Finding the Fourth Proportional to 6,529.14, 9,012.03 and 4,139.52

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Solution

The fourth proportional to 6,529.14, 9,012.03 and 4,139.52 is: 5,713.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.14 : 9,012.03 = 4,139.52 : x
  2. Step 2: Convert to fraction form
    6,529.14/9,012.03 = 4,139.52/x
  3. Step 3: Cross multiply
    6,529.14x = 9,012.03 × 4,139.52
  4. Step 4: Simplify right side
    6,529.14x = 37,305,478.43
  5. Step 5: Solve for x
    x = 37,305,478.43/6,529.14
  6. Step 6: Final answer
    x = 5,713.69

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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.