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Finding the Fourth Proportional to 9,757.50, 14,626.53 and 5,377.02

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Solution

The fourth proportional to 9,757.50, 14,626.53 and 5,377.02 is: 8,060.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.50 : 14,626.53 = 5,377.02 : x
  2. Step 2: Convert to fraction form
    9,757.50/14,626.53 = 5,377.02/x
  3. Step 3: Cross multiply
    9,757.50x = 14,626.53 × 5,377.02
  4. Step 4: Simplify right side
    9,757.50x = 78,647,144.34
  5. Step 5: Solve for x
    x = 78,647,144.34/9,757.50
  6. Step 6: Final answer
    x = 8,060.17

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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.