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Finding the Fourth Proportional to 6,389.18, 9,583.74 and 2,006.96

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Solution

The fourth proportional to 6,389.18, 9,583.74 and 2,006.96 is: 3,010.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.18 : 9,583.74 = 2,006.96 : x
  2. Step 2: Convert to fraction form
    6,389.18/9,583.74 = 2,006.96/x
  3. Step 3: Cross multiply
    6,389.18x = 9,583.74 × 2,006.96
  4. Step 4: Simplify right side
    6,389.18x = 19,234,182.83
  5. Step 5: Solve for x
    x = 19,234,182.83/6,389.18
  6. Step 6: Final answer
    x = 3,010.43

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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.