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Finding the Fourth Proportional to 9,086.14, 13,622.91 and 4,635.16

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Solution

The fourth proportional to 9,086.14, 13,622.91 and 4,635.16 is: 6,949.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086.14 : 13,622.91 = 4,635.16 : x
  2. Step 2: Convert to fraction form
    9,086.14/13,622.91 = 4,635.16/x
  3. Step 3: Cross multiply
    9,086.14x = 13,622.91 × 4,635.16
  4. Step 4: Simplify right side
    9,086.14x = 63,144,367.52
  5. Step 5: Solve for x
    x = 63,144,367.52/9,086.14
  6. Step 6: Final answer
    x = 6,949.53

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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.