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Finding the Fourth Proportional to 9,194.30, 13,794.79 and 4,513.81

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Solution

The fourth proportional to 9,194.30, 13,794.79 and 4,513.81 is: 6,772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.30 : 13,794.79 = 4,513.81 : x
  2. Step 2: Convert to fraction form
    9,194.30/13,794.79 = 4,513.81/x
  3. Step 3: Cross multiply
    9,194.30x = 13,794.79 × 4,513.81
  4. Step 4: Simplify right side
    9,194.30x = 62,267,061.05
  5. Step 5: Solve for x
    x = 62,267,061.05/9,194.30
  6. Step 6: Final answer
    x = 6,772.35

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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.