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Finding the Fourth Proportional to 9,684.27, 13,365.24 and 5,706.63

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Solution

The fourth proportional to 9,684.27, 13,365.24 and 5,706.63 is: 7,875.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.27 : 13,365.24 = 5,706.63 : x
  2. Step 2: Convert to fraction form
    9,684.27/13,365.24 = 5,706.63/x
  3. Step 3: Cross multiply
    9,684.27x = 13,365.24 × 5,706.63
  4. Step 4: Simplify right side
    9,684.27x = 76,270,479.54
  5. Step 5: Solve for x
    x = 76,270,479.54/9,684.27
  6. Step 6: Final answer
    x = 7,875.71

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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.