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Finding the Fourth Proportional to 9,376.10, 14,060.10 and 4,694.30

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Solution

The fourth proportional to 9,376.10, 14,060.10 and 4,694.30 is: 7,039.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.10 : 14,060.10 = 4,694.30 : x
  2. Step 2: Convert to fraction form
    9,376.10/14,060.10 = 4,694.30/x
  3. Step 3: Cross multiply
    9,376.10x = 14,060.10 × 4,694.30
  4. Step 4: Simplify right side
    9,376.10x = 66,002,327.43
  5. Step 5: Solve for x
    x = 66,002,327.43/9,376.10
  6. Step 6: Final answer
    x = 7,039.42

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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.