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Finding the Fourth Proportional to 9,961.34, 13,742.03 and 6,425.69

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Solution

The fourth proportional to 9,961.34, 13,742.03 and 6,425.69 is: 8,864.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.34 : 13,742.03 = 6,425.69 : x
  2. Step 2: Convert to fraction form
    9,961.34/13,742.03 = 6,425.69/x
  3. Step 3: Cross multiply
    9,961.34x = 13,742.03 × 6,425.69
  4. Step 4: Simplify right side
    9,961.34x = 88,301,923.91
  5. Step 5: Solve for x
    x = 88,301,923.91/9,961.34
  6. Step 6: Final answer
    x = 8,864.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.