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Finding the Fourth Proportional to 9,544.38, 13,173.75 and 5,353.98

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Solution

The fourth proportional to 9,544.38, 13,173.75 and 5,353.98 is: 7,389.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.38 : 13,173.75 = 5,353.98 : x
  2. Step 2: Convert to fraction form
    9,544.38/13,173.75 = 5,353.98/x
  3. Step 3: Cross multiply
    9,544.38x = 13,173.75 × 5,353.98
  4. Step 4: Simplify right side
    9,544.38x = 70,531,994.03
  5. Step 5: Solve for x
    x = 70,531,994.03/9,544.38
  6. Step 6: Final answer
    x = 7,389.90

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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.