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Finding the Fourth Proportional to 9,544.69, 13,173.06 and 5,768.40

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Solution

The fourth proportional to 9,544.69, 13,173.06 and 5,768.40 is: 7,961.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.69 : 13,173.06 = 5,768.40 : x
  2. Step 2: Convert to fraction form
    9,544.69/13,173.06 = 5,768.40/x
  3. Step 3: Cross multiply
    9,544.69x = 13,173.06 × 5,768.40
  4. Step 4: Simplify right side
    9,544.69x = 75,987,479.30
  5. Step 5: Solve for x
    x = 75,987,479.30/9,544.69
  6. Step 6: Final answer
    x = 7,961.23

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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.