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Finding the Fourth Proportional to 9,129.59, 13,628.34 and 8,022.42

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Solution

The fourth proportional to 9,129.59, 13,628.34 and 8,022.42 is: 11,975.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.59 : 13,628.34 = 8,022.42 : x
  2. Step 2: Convert to fraction form
    9,129.59/13,628.34 = 8,022.42/x
  3. Step 3: Cross multiply
    9,129.59x = 13,628.34 × 8,022.42
  4. Step 4: Simplify right side
    9,129.59x = 109,332,267.38
  5. Step 5: Solve for x
    x = 109,332,267.38/9,129.59
  6. Step 6: Final answer
    x = 11,975.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.