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Finding the Fourth Proportional to 6,411.99, 9,618.27 and 2,029.77

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Solution

The fourth proportional to 6,411.99, 9,618.27 and 2,029.77 is: 3,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.99 : 9,618.27 = 2,029.77 : x
  2. Step 2: Convert to fraction form
    6,411.99/9,618.27 = 2,029.77/x
  3. Step 3: Cross multiply
    6,411.99x = 9,618.27 × 2,029.77
  4. Step 4: Simplify right side
    6,411.99x = 19,522,875.90
  5. Step 5: Solve for x
    x = 19,522,875.90/6,411.99
  6. Step 6: Final answer
    x = 3,044.75

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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.