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Finding the Fourth Proportional to 9,194.87, 13,782.69 and 4,260.42

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Solution

The fourth proportional to 9,194.87, 13,782.69 and 4,260.42 is: 6,386.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.87 : 13,782.69 = 4,260.42 : x
  2. Step 2: Convert to fraction form
    9,194.87/13,782.69 = 4,260.42/x
  3. Step 3: Cross multiply
    9,194.87x = 13,782.69 × 4,260.42
  4. Step 4: Simplify right side
    9,194.87x = 58,720,048.13
  5. Step 5: Solve for x
    x = 58,720,048.13/9,194.87
  6. Step 6: Final answer
    x = 6,386.17

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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.