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Finding the Fourth Proportional to 9,451.34, 13,043.46 and 5,472.45

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Solution

The fourth proportional to 9,451.34, 13,043.46 and 5,472.45 is: 7,552.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.34 : 13,043.46 = 5,472.45 : x
  2. Step 2: Convert to fraction form
    9,451.34/13,043.46 = 5,472.45/x
  3. Step 3: Cross multiply
    9,451.34x = 13,043.46 × 5,472.45
  4. Step 4: Simplify right side
    9,451.34x = 71,379,682.68
  5. Step 5: Solve for x
    x = 71,379,682.68/9,451.34
  6. Step 6: Final answer
    x = 7,552.33

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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.