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Finding the Fourth Proportional to 6,042.19, 9,064.86 and 1,882.27

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Solution

The fourth proportional to 6,042.19, 9,064.86 and 1,882.27 is: 2,823.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,042.19 : 9,064.86 = 1,882.27 : x
  2. Step 2: Convert to fraction form
    6,042.19/9,064.86 = 1,882.27/x
  3. Step 3: Cross multiply
    6,042.19x = 9,064.86 × 1,882.27
  4. Step 4: Simplify right side
    6,042.19x = 17,062,467.31
  5. Step 5: Solve for x
    x = 17,062,467.31/6,042.19
  6. Step 6: Final answer
    x = 2,823.89

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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.