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Finding the Fourth Proportional to 6,389.76, 9,568.59 and 4,042.69

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Solution

The fourth proportional to 6,389.76, 9,568.59 and 4,042.69 is: 6,053.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.76 : 9,568.59 = 4,042.69 : x
  2. Step 2: Convert to fraction form
    6,389.76/9,568.59 = 4,042.69/x
  3. Step 3: Cross multiply
    6,389.76x = 9,568.59 × 4,042.69
  4. Step 4: Simplify right side
    6,389.76x = 38,682,843.11
  5. Step 5: Solve for x
    x = 38,682,843.11/6,389.76
  6. Step 6: Final answer
    x = 6,053.88

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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.