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Finding the Fourth Proportional to 9,706.07, 14,537.22 and 6,797.36

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Solution

The fourth proportional to 9,706.07, 14,537.22 and 6,797.36 is: 10,180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.07 : 14,537.22 = 6,797.36 : x
  2. Step 2: Convert to fraction form
    9,706.07/14,537.22 = 6,797.36/x
  3. Step 3: Cross multiply
    9,706.07x = 14,537.22 × 6,797.36
  4. Step 4: Simplify right side
    9,706.07x = 98,814,645.05
  5. Step 5: Solve for x
    x = 98,814,645.05/9,706.07
  6. Step 6: Final answer
    x = 10,180.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.