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Finding the Fourth Proportional to 9,414.80, 14,094.12 and 5,705.84

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Solution

The fourth proportional to 9,414.80, 14,094.12 and 5,705.84 is: 8,541.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.80 : 14,094.12 = 5,705.84 : x
  2. Step 2: Convert to fraction form
    9,414.80/14,094.12 = 5,705.84/x
  3. Step 3: Cross multiply
    9,414.80x = 14,094.12 × 5,705.84
  4. Step 4: Simplify right side
    9,414.80x = 80,418,793.66
  5. Step 5: Solve for x
    x = 80,418,793.66/9,414.80
  6. Step 6: Final answer
    x = 8,541.74

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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.