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Finding the Fourth Proportional to 9,164.79, 13,737.96 and 3,622.07

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Solution

The fourth proportional to 9,164.79, 13,737.96 and 3,622.07 is: 5,429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.79 : 13,737.96 = 3,622.07 : x
  2. Step 2: Convert to fraction form
    9,164.79/13,737.96 = 3,622.07/x
  3. Step 3: Cross multiply
    9,164.79x = 13,737.96 × 3,622.07
  4. Step 4: Simplify right side
    9,164.79x = 49,759,887.12
  5. Step 5: Solve for x
    x = 49,759,887.12/9,164.79
  6. Step 6: Final answer
    x = 5,429.46

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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.