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Finding the Fourth Proportional to 9,942.54, 13,727.50 and 9,100

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Solution

The fourth proportional to 9,942.54, 13,727.50 and 9,100 is: 12,564.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.54 : 13,727.50 = 9,100 : x
  2. Step 2: Convert to fraction form
    9,942.54/13,727.50 = 9,100/x
  3. Step 3: Cross multiply
    9,942.54x = 13,727.50 × 9,100
  4. Step 4: Simplify right side
    9,942.54x = 124,920,250
  5. Step 5: Solve for x
    x = 124,920,250/9,942.54
  6. Step 6: Final answer
    x = 12,564.22

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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.