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Finding the Fourth Proportional to 6,389.37, 9,585.59 and 2,006.83

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Solution

The fourth proportional to 6,389.37, 9,585.59 and 2,006.83 is: 3,010.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.37 : 9,585.59 = 2,006.83 : x
  2. Step 2: Convert to fraction form
    6,389.37/9,585.59 = 2,006.83/x
  3. Step 3: Cross multiply
    6,389.37x = 9,585.59 × 2,006.83
  4. Step 4: Simplify right side
    6,389.37x = 19,236,649.58
  5. Step 5: Solve for x
    x = 19,236,649.58/6,389.37
  6. Step 6: Final answer
    x = 3,010.73

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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.