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Finding the Fourth Proportional to 9,618.75, 13,274.69 and 5,427.81

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Solution

The fourth proportional to 9,618.75, 13,274.69 and 5,427.81 is: 7,490.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.75 : 13,274.69 = 5,427.81 : x
  2. Step 2: Convert to fraction form
    9,618.75/13,274.69 = 5,427.81/x
  3. Step 3: Cross multiply
    9,618.75x = 13,274.69 × 5,427.81
  4. Step 4: Simplify right side
    9,618.75x = 72,052,467.99
  5. Step 5: Solve for x
    x = 72,052,467.99/9,618.75
  6. Step 6: Final answer
    x = 7,490.83

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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.