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Finding the Fourth Proportional to 9,262.80, 13,896.19 and 5,315.88

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Solution

The fourth proportional to 9,262.80, 13,896.19 and 5,315.88 is: 7,974.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,262.80 : 13,896.19 = 5,315.88 : x
  2. Step 2: Convert to fraction form
    9,262.80/13,896.19 = 5,315.88/x
  3. Step 3: Cross multiply
    9,262.80x = 13,896.19 × 5,315.88
  4. Step 4: Simplify right side
    9,262.80x = 73,870,478.50
  5. Step 5: Solve for x
    x = 73,870,478.50/9,262.80
  6. Step 6: Final answer
    x = 7,974.96

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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.