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Finding the Fourth Proportional to 6,928.36, 9,560.68 and 3,784.54

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Solution

The fourth proportional to 6,928.36, 9,560.68 and 3,784.54 is: 5,222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928.36 : 9,560.68 = 3,784.54 : x
  2. Step 2: Convert to fraction form
    6,928.36/9,560.68 = 3,784.54/x
  3. Step 3: Cross multiply
    6,928.36x = 9,560.68 × 3,784.54
  4. Step 4: Simplify right side
    6,928.36x = 36,182,775.89
  5. Step 5: Solve for x
    x = 36,182,775.89/6,928.36
  6. Step 6: Final answer
    x = 5,222.42

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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.