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Finding the Fourth Proportional to 6,928.42, 9,564.78 and 4,096.66

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Solution

The fourth proportional to 6,928.42, 9,564.78 and 4,096.66 is: 5,655.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928.42 : 9,564.78 = 4,096.66 : x
  2. Step 2: Convert to fraction form
    6,928.42/9,564.78 = 4,096.66/x
  3. Step 3: Cross multiply
    6,928.42x = 9,564.78 × 4,096.66
  4. Step 4: Simplify right side
    6,928.42x = 39,183,651.63
  5. Step 5: Solve for x
    x = 39,183,651.63/6,928.42
  6. Step 6: Final answer
    x = 5,655.50

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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.