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Finding the Fourth Proportional to 9,414.62, 14,124.09 and 2,840.87

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Solution

The fourth proportional to 9,414.62, 14,124.09 and 2,840.87 is: 4,261.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.62 : 14,124.09 = 2,840.87 : x
  2. Step 2: Convert to fraction form
    9,414.62/14,124.09 = 2,840.87/x
  3. Step 3: Cross multiply
    9,414.62x = 14,124.09 × 2,840.87
  4. Step 4: Simplify right side
    9,414.62x = 40,124,632.94
  5. Step 5: Solve for x
    x = 40,124,632.94/9,414.62
  6. Step 6: Final answer
    x = 4,261.95

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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.