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Finding the Fourth Proportional to 6,009.51, 9,020.03 and 3,414.63

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Solution

The fourth proportional to 6,009.51, 9,020.03 and 3,414.63 is: 5,125.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.51 : 9,020.03 = 3,414.63 : x
  2. Step 2: Convert to fraction form
    6,009.51/9,020.03 = 3,414.63/x
  3. Step 3: Cross multiply
    6,009.51x = 9,020.03 × 3,414.63
  4. Step 4: Simplify right side
    6,009.51x = 30,800,065.04
  5. Step 5: Solve for x
    x = 30,800,065.04/6,009.51
  6. Step 6: Final answer
    x = 5,125.22

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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.