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Finding the Fourth Proportional to 6,926.96, 9,559.42 and 3,783.36

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Solution

The fourth proportional to 6,926.96, 9,559.42 and 3,783.36 is: 5,221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,926.96 : 9,559.42 = 3,783.36 : x
  2. Step 2: Convert to fraction form
    6,926.96/9,559.42 = 3,783.36/x
  3. Step 3: Cross multiply
    6,926.96x = 9,559.42 × 3,783.36
  4. Step 4: Simplify right side
    6,926.96x = 36,166,727.25
  5. Step 5: Solve for x
    x = 36,166,727.25/6,926.96
  6. Step 6: Final answer
    x = 5,221.15

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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.