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Finding the Fourth Proportional to 6,411.94, 9,612.21 and 2,519.06

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Solution

The fourth proportional to 6,411.94, 9,612.21 and 2,519.06 is: 3,776.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.94 : 9,612.21 = 2,519.06 : x
  2. Step 2: Convert to fraction form
    6,411.94/9,612.21 = 2,519.06/x
  3. Step 3: Cross multiply
    6,411.94x = 9,612.21 × 2,519.06
  4. Step 4: Simplify right side
    6,411.94x = 24,213,733.72
  5. Step 5: Solve for x
    x = 24,213,733.72/6,411.94
  6. Step 6: Final answer
    x = 3,776.35

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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.