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Finding the Fourth Proportional to 6,561.45, 9,812.25 and 4,896.75

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Solution

The fourth proportional to 6,561.45, 9,812.25 and 4,896.75 is: 7,322.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.45 : 9,812.25 = 4,896.75 : x
  2. Step 2: Convert to fraction form
    6,561.45/9,812.25 = 4,896.75/x
  3. Step 3: Cross multiply
    6,561.45x = 9,812.25 × 4,896.75
  4. Step 4: Simplify right side
    6,561.45x = 48,048,135.19
  5. Step 5: Solve for x
    x = 48,048,135.19/6,561.45
  6. Step 6: Final answer
    x = 7,322.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.