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Finding the Fourth Proportional to 9,544.25, 13,169.63 and 5,351.69

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Solution

The fourth proportional to 9,544.25, 13,169.63 and 5,351.69 is: 7,384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.25 : 13,169.63 = 5,351.69 : x
  2. Step 2: Convert to fraction form
    9,544.25/13,169.63 = 5,351.69/x
  3. Step 3: Cross multiply
    9,544.25x = 13,169.63 × 5,351.69
  4. Step 4: Simplify right side
    9,544.25x = 70,479,724.71
  5. Step 5: Solve for x
    x = 70,479,724.71/9,544.25
  6. Step 6: Final answer
    x = 7,384.53

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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.