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Finding the Fourth Proportional to 9,961.38, 14,942.07 and 4,751.46

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Solution

The fourth proportional to 9,961.38, 14,942.07 and 4,751.46 is: 7,127.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.38 : 14,942.07 = 4,751.46 : x
  2. Step 2: Convert to fraction form
    9,961.38/14,942.07 = 4,751.46/x
  3. Step 3: Cross multiply
    9,961.38x = 14,942.07 × 4,751.46
  4. Step 4: Simplify right side
    9,961.38x = 70,996,647.92
  5. Step 5: Solve for x
    x = 70,996,647.92/9,961.38
  6. Step 6: Final answer
    x = 7,127.19

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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.