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Finding the Fourth Proportional to 9,451.38, 13,043.71 and 5,203.28

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Solution

The fourth proportional to 9,451.38, 13,043.71 and 5,203.28 is: 7,180.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.38 : 13,043.71 = 5,203.28 : x
  2. Step 2: Convert to fraction form
    9,451.38/13,043.71 = 5,203.28/x
  3. Step 3: Cross multiply
    9,451.38x = 13,043.71 × 5,203.28
  4. Step 4: Simplify right side
    9,451.38x = 67,870,075.37
  5. Step 5: Solve for x
    x = 67,870,075.37/9,451.38
  6. Step 6: Final answer
    x = 7,180.97

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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.