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Finding the Fourth Proportional to 9,942.55, 14,915.95 and 6,249.56

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Solution

The fourth proportional to 9,942.55, 14,915.95 and 6,249.56 is: 9,375.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.55 : 14,915.95 = 6,249.56 : x
  2. Step 2: Convert to fraction form
    9,942.55/14,915.95 = 6,249.56/x
  3. Step 3: Cross multiply
    9,942.55x = 14,915.95 × 6,249.56
  4. Step 4: Simplify right side
    9,942.55x = 93,218,034.28
  5. Step 5: Solve for x
    x = 93,218,034.28/9,942.55
  6. Step 6: Final answer
    x = 9,375.67

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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.