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Finding the Fourth Proportional to 9,107.20, 13,663.20 and 3,263.20

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Solution

The fourth proportional to 9,107.20, 13,663.20 and 3,263.20 is: 4,895.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.20 : 13,663.20 = 3,263.20 : x
  2. Step 2: Convert to fraction form
    9,107.20/13,663.20 = 3,263.20/x
  3. Step 3: Cross multiply
    9,107.20x = 13,663.20 × 3,263.20
  4. Step 4: Simplify right side
    9,107.20x = 44,585,754.24
  5. Step 5: Solve for x
    x = 44,585,754.24/9,107.20
  6. Step 6: Final answer
    x = 4,895.66

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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.