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Finding the Fourth Proportional to 9,118.71, 13,678.67 and 3,194.91

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Solution

The fourth proportional to 9,118.71, 13,678.67 and 3,194.91 is: 4,792.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118.71 : 13,678.67 = 3,194.91 : x
  2. Step 2: Convert to fraction form
    9,118.71/13,678.67 = 3,194.91/x
  3. Step 3: Cross multiply
    9,118.71x = 13,678.67 × 3,194.91
  4. Step 4: Simplify right side
    9,118.71x = 43,702,127.56
  5. Step 5: Solve for x
    x = 43,702,127.56/9,118.71
  6. Step 6: Final answer
    x = 4,792.58

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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.