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Finding the Fourth Proportional to 9,694.75, 13,378.75 and 5,445.81

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Solution

The fourth proportional to 9,694.75, 13,378.75 and 5,445.81 is: 7,515.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.75 : 13,378.75 = 5,445.81 : x
  2. Step 2: Convert to fraction form
    9,694.75/13,378.75 = 5,445.81/x
  3. Step 3: Cross multiply
    9,694.75x = 13,378.75 × 5,445.81
  4. Step 4: Simplify right side
    9,694.75x = 72,858,130.54
  5. Step 5: Solve for x
    x = 72,858,130.54/9,694.75
  6. Step 6: Final answer
    x = 7,515.22

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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.