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Finding the Fourth Proportional to 9,558, 13,190.04 and 5,367.06

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Solution

The fourth proportional to 9,558, 13,190.04 and 5,367.06 is: 7,406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,558 : 13,190.04 = 5,367.06 : x
  2. Step 2: Convert to fraction form
    9,558/13,190.04 = 5,367.06/x
  3. Step 3: Cross multiply
    9,558x = 13,190.04 × 5,367.06
  4. Step 4: Simplify right side
    9,558x = 70,791,736.08
  5. Step 5: Solve for x
    x = 70,791,736.08/9,558
  6. Step 6: Final answer
    x = 7,406.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.