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Finding the Fourth Proportional to 6,927.27, 9,559.48 and 3,783.47

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Solution

The fourth proportional to 6,927.27, 9,559.48 and 3,783.47 is: 5,221.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,927.27 : 9,559.48 = 3,783.47 : x
  2. Step 2: Convert to fraction form
    6,927.27/9,559.48 = 3,783.47/x
  3. Step 3: Cross multiply
    6,927.27x = 9,559.48 × 3,783.47
  4. Step 4: Simplify right side
    6,927.27x = 36,168,005.80
  5. Step 5: Solve for x
    x = 36,168,005.80/6,927.27
  6. Step 6: Final answer
    x = 5,221.11

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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.