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Finding the Fourth Proportional to 9,558, 13,190.04 and 5,366.25

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Solution

The fourth proportional to 9,558, 13,190.04 and 5,366.25 is: 7,405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,558 : 13,190.04 = 5,366.25 : x
  2. Step 2: Convert to fraction form
    9,558/13,190.04 = 5,366.25/x
  3. Step 3: Cross multiply
    9,558x = 13,190.04 × 5,366.25
  4. Step 4: Simplify right side
    9,558x = 70,781,052.15
  5. Step 5: Solve for x
    x = 70,781,052.15/9,558
  6. Step 6: Final answer
    x = 7,405.43

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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.