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Finding the Fourth Proportional to 9,207.74, 13,813.67 and 3,364.20

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Solution

The fourth proportional to 9,207.74, 13,813.67 and 3,364.20 is: 5,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.74 : 13,813.67 = 3,364.20 : x
  2. Step 2: Convert to fraction form
    9,207.74/13,813.67 = 3,364.20/x
  3. Step 3: Cross multiply
    9,207.74x = 13,813.67 × 3,364.20
  4. Step 4: Simplify right side
    9,207.74x = 46,471,957.02
  5. Step 5: Solve for x
    x = 46,471,957.02/9,207.74
  6. Step 6: Final answer
    x = 5,047.05

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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.