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Finding the Fourth Proportional to 9,207.84, 13,813.92 and 3,364.56

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Solution

The fourth proportional to 9,207.84, 13,813.92 and 3,364.56 is: 5,047.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.84 : 13,813.92 = 3,364.56 : x
  2. Step 2: Convert to fraction form
    9,207.84/13,813.92 = 3,364.56/x
  3. Step 3: Cross multiply
    9,207.84x = 13,813.92 × 3,364.56
  4. Step 4: Simplify right side
    9,207.84x = 46,477,762.68
  5. Step 5: Solve for x
    x = 46,477,762.68/9,207.84
  6. Step 6: Final answer
    x = 5,047.63

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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.