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Finding the Fourth Proportional to 9,133.22, 13,694.94 and 6,214.82

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Solution

The fourth proportional to 9,133.22, 13,694.94 and 6,214.82 is: 9,318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.22 : 13,694.94 = 6,214.82 : x
  2. Step 2: Convert to fraction form
    9,133.22/13,694.94 = 6,214.82/x
  3. Step 3: Cross multiply
    9,133.22x = 13,694.94 × 6,214.82
  4. Step 4: Simplify right side
    9,133.22x = 85,111,587.01
  5. Step 5: Solve for x
    x = 85,111,587.01/9,133.22
  6. Step 6: Final answer
    x = 9,318.90

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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.