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Finding the Fourth Proportional to 9,544.64, 13,172.83 and 5,353.70

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Solution

The fourth proportional to 9,544.64, 13,172.83 and 5,353.70 is: 7,388.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.64 : 13,172.83 = 5,353.70 : x
  2. Step 2: Convert to fraction form
    9,544.64/13,172.83 = 5,353.70/x
  3. Step 3: Cross multiply
    9,544.64x = 13,172.83 × 5,353.70
  4. Step 4: Simplify right side
    9,544.64x = 70,523,300.72
  5. Step 5: Solve for x
    x = 70,523,300.72/9,544.64
  6. Step 6: Final answer
    x = 7,388.79

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