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Finding the Fourth Proportional to 9,096.47, 13,634.32 and 4,420.99

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Solution

The fourth proportional to 9,096.47, 13,634.32 and 4,420.99 is: 6,626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.47 : 13,634.32 = 4,420.99 : x
  2. Step 2: Convert to fraction form
    9,096.47/13,634.32 = 4,420.99/x
  3. Step 3: Cross multiply
    9,096.47x = 13,634.32 × 4,420.99
  4. Step 4: Simplify right side
    9,096.47x = 60,277,150.43
  5. Step 5: Solve for x
    x = 60,277,150.43/9,096.47
  6. Step 6: Final answer
    x = 6,626.43

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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.