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Finding the Fourth Proportional to 6,389.94, 9,585.87 and 2,006.98

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Solution

The fourth proportional to 6,389.94, 9,585.87 and 2,006.98 is: 3,010.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.94 : 9,585.87 = 2,006.98 : x
  2. Step 2: Convert to fraction form
    6,389.94/9,585.87 = 2,006.98/x
  3. Step 3: Cross multiply
    6,389.94x = 9,585.87 × 2,006.98
  4. Step 4: Simplify right side
    6,389.94x = 19,238,649.37
  5. Step 5: Solve for x
    x = 19,238,649.37/6,389.94
  6. Step 6: Final answer
    x = 3,010.77

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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.