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Finding the Fourth Proportional to 9,381.79, 14,074.50 and 2,807.41

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Solution

The fourth proportional to 9,381.79, 14,074.50 and 2,807.41 is: 4,211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.79 : 14,074.50 = 2,807.41 : x
  2. Step 2: Convert to fraction form
    9,381.79/14,074.50 = 2,807.41/x
  3. Step 3: Cross multiply
    9,381.79x = 14,074.50 × 2,807.41
  4. Step 4: Simplify right side
    9,381.79x = 39,512,892.05
  5. Step 5: Solve for x
    x = 39,512,892.05/9,381.79
  6. Step 6: Final answer
    x = 4,211.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.