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Finding the Fourth Proportional to 6,029.01, 9,042.47 and 1,645.43

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Solution

The fourth proportional to 6,029.01, 9,042.47 and 1,645.43 is: 2,467.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.01 : 9,042.47 = 1,645.43 : x
  2. Step 2: Convert to fraction form
    6,029.01/9,042.47 = 1,645.43/x
  3. Step 3: Cross multiply
    6,029.01x = 9,042.47 × 1,645.43
  4. Step 4: Simplify right side
    6,029.01x = 14,878,704.14
  5. Step 5: Solve for x
    x = 14,878,704.14/6,029.01
  6. Step 6: Final answer
    x = 2,467.85

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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.