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Finding the Fourth Proportional to 9,210.33, 13,815.50 and 7,941.87

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Solution

The fourth proportional to 9,210.33, 13,815.50 and 7,941.87 is: 11,912.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210.33 : 13,815.50 = 7,941.87 : x
  2. Step 2: Convert to fraction form
    9,210.33/13,815.50 = 7,941.87/x
  3. Step 3: Cross multiply
    9,210.33x = 13,815.50 × 7,941.87
  4. Step 4: Simplify right side
    9,210.33x = 109,720,865.28
  5. Step 5: Solve for x
    x = 109,720,865.28/9,210.33
  6. Step 6: Final answer
    x = 11,912.81

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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.