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Finding the Fourth Proportional to 9,505.70, 14,267.78 and 6,890.03

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Solution

The fourth proportional to 9,505.70, 14,267.78 and 6,890.03 is: 10,341.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.70 : 14,267.78 = 6,890.03 : x
  2. Step 2: Convert to fraction form
    9,505.70/14,267.78 = 6,890.03/x
  3. Step 3: Cross multiply
    9,505.70x = 14,267.78 × 6,890.03
  4. Step 4: Simplify right side
    9,505.70x = 98,305,326.44
  5. Step 5: Solve for x
    x = 98,305,326.44/9,505.70
  6. Step 6: Final answer
    x = 10,341.73

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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.