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Finding the Fourth Proportional to 6,006.51, 9,015.53 and 3,411.63

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Solution

The fourth proportional to 6,006.51, 9,015.53 and 3,411.63 is: 5,120.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,006.51 : 9,015.53 = 3,411.63 : x
  2. Step 2: Convert to fraction form
    6,006.51/9,015.53 = 3,411.63/x
  3. Step 3: Cross multiply
    6,006.51x = 9,015.53 × 3,411.63
  4. Step 4: Simplify right side
    6,006.51x = 30,757,635.56
  5. Step 5: Solve for x
    x = 30,757,635.56/6,006.51
  6. Step 6: Final answer
    x = 5,120.72

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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.