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Finding the Fourth Proportional to 6,928.62, 9,561.54 and 3,784.80

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Solution

The fourth proportional to 6,928.62, 9,561.54 and 3,784.80 is: 5,223.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928.62 : 9,561.54 = 3,784.80 : x
  2. Step 2: Convert to fraction form
    6,928.62/9,561.54 = 3,784.80/x
  3. Step 3: Cross multiply
    6,928.62x = 9,561.54 × 3,784.80
  4. Step 4: Simplify right side
    6,928.62x = 36,188,516.59
  5. Step 5: Solve for x
    x = 36,188,516.59/6,928.62
  6. Step 6: Final answer
    x = 5,223.05

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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.