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Finding the Fourth Proportional to 9,706.22, 13,394.40 and 5,727.69

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Solution

The fourth proportional to 9,706.22, 13,394.40 and 5,727.69 is: 7,904.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.22 : 13,394.40 = 5,727.69 : x
  2. Step 2: Convert to fraction form
    9,706.22/13,394.40 = 5,727.69/x
  3. Step 3: Cross multiply
    9,706.22x = 13,394.40 × 5,727.69
  4. Step 4: Simplify right side
    9,706.22x = 76,718,970.94
  5. Step 5: Solve for x
    x = 76,718,970.94/9,706.22
  6. Step 6: Final answer
    x = 7,904.11

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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.