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Finding the Fourth Proportional to 9,376.53, 14,052.49 and 6,899.75

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Solution

The fourth proportional to 9,376.53, 14,052.49 and 6,899.75 is: 10,340.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.53 : 14,052.49 = 6,899.75 : x
  2. Step 2: Convert to fraction form
    9,376.53/14,052.49 = 6,899.75/x
  3. Step 3: Cross multiply
    9,376.53x = 14,052.49 × 6,899.75
  4. Step 4: Simplify right side
    9,376.53x = 96,958,711.63
  5. Step 5: Solve for x
    x = 96,958,711.63/9,376.53
  6. Step 6: Final answer
    x = 10,340.57

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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.