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Finding the Fourth Proportional to 9,246.36, 12,761.31 and 5,267.85

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Solution

The fourth proportional to 9,246.36, 12,761.31 and 5,267.85 is: 7,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,246.36 : 12,761.31 = 5,267.85 : x
  2. Step 2: Convert to fraction form
    9,246.36/12,761.31 = 5,267.85/x
  3. Step 3: Cross multiply
    9,246.36x = 12,761.31 × 5,267.85
  4. Step 4: Simplify right side
    9,246.36x = 67,224,666.88
  5. Step 5: Solve for x
    x = 67,224,666.88/9,246.36
  6. Step 6: Final answer
    x = 7,270.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.