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Finding the Fourth Proportional to 9,475.38, 13,076.13 and 5,226.59

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Solution

The fourth proportional to 9,475.38, 13,076.13 and 5,226.59 is: 7,212.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,475.38 : 13,076.13 = 5,226.59 : x
  2. Step 2: Convert to fraction form
    9,475.38/13,076.13 = 5,226.59/x
  3. Step 3: Cross multiply
    9,475.38x = 13,076.13 × 5,226.59
  4. Step 4: Simplify right side
    9,475.38x = 68,343,622.59
  5. Step 5: Solve for x
    x = 68,343,622.59/9,475.38
  6. Step 6: Final answer
    x = 7,212.76

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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.