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Finding the Fourth Proportional to 6,336.48, 9,505.62 and 2,177.52

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Solution

The fourth proportional to 6,336.48, 9,505.62 and 2,177.52 is: 3,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.48 : 9,505.62 = 2,177.52 : x
  2. Step 2: Convert to fraction form
    6,336.48/9,505.62 = 2,177.52/x
  3. Step 3: Cross multiply
    6,336.48x = 9,505.62 × 2,177.52
  4. Step 4: Simplify right side
    6,336.48x = 20,698,677.66
  5. Step 5: Solve for x
    x = 20,698,677.66/6,336.48
  6. Step 6: Final answer
    x = 3,266.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.