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Finding the Fourth Proportional to 9,414.40, 12,991.89 and 5,222.65

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Solution

The fourth proportional to 9,414.40, 12,991.89 and 5,222.65 is: 7,207.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.40 : 12,991.89 = 5,222.65 : x
  2. Step 2: Convert to fraction form
    9,414.40/12,991.89 = 5,222.65/x
  3. Step 3: Cross multiply
    9,414.40x = 12,991.89 × 5,222.65
  4. Step 4: Simplify right side
    9,414.40x = 67,852,094.31
  5. Step 5: Solve for x
    x = 67,852,094.31/9,414.40
  6. Step 6: Final answer
    x = 7,207.27

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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.