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Finding the Fourth Proportional to 9,706.39, 13,394.22 and 5,727.88

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Solution

The fourth proportional to 9,706.39, 13,394.22 and 5,727.88 is: 7,904.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.39 : 13,394.22 = 5,727.88 : x
  2. Step 2: Convert to fraction form
    9,706.39/13,394.22 = 5,727.88/x
  3. Step 3: Cross multiply
    9,706.39x = 13,394.22 × 5,727.88
  4. Step 4: Simplify right side
    9,706.39x = 76,720,484.85
  5. Step 5: Solve for x
    x = 76,720,484.85/9,706.39
  6. Step 6: Final answer
    x = 7,904.12

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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.