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Finding the Fourth Proportional to 9,234.34, 12,743.03 and 5,201.08

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Solution

The fourth proportional to 9,234.34, 12,743.03 and 5,201.08 is: 7,177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.34 : 12,743.03 = 5,201.08 : x
  2. Step 2: Convert to fraction form
    9,234.34/12,743.03 = 5,201.08/x
  3. Step 3: Cross multiply
    9,234.34x = 12,743.03 × 5,201.08
  4. Step 4: Simplify right side
    9,234.34x = 66,277,518.47
  5. Step 5: Solve for x
    x = 66,277,518.47/9,234.34
  6. Step 6: Final answer
    x = 7,177.29

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1.5x scale

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.