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Finding the Fourth Proportional to 9,951.38, 13,726.64 and 7,396.86

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Solution

The fourth proportional to 9,951.38, 13,726.64 and 7,396.86 is: 10,203.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951.38 : 13,726.64 = 7,396.86 : x
  2. Step 2: Convert to fraction form
    9,951.38/13,726.64 = 7,396.86/x
  3. Step 3: Cross multiply
    9,951.38x = 13,726.64 × 7,396.86
  4. Step 4: Simplify right side
    9,951.38x = 101,534,034.35
  5. Step 5: Solve for x
    x = 101,534,034.35/9,951.38
  6. Step 6: Final answer
    x = 10,203.01

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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.