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Finding the Fourth Proportional to 6,754.86, 9,333.63 and 5,196.42

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Solution

The fourth proportional to 6,754.86, 9,333.63 and 5,196.42 is: 7,180.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.86 : 9,333.63 = 5,196.42 : x
  2. Step 2: Convert to fraction form
    6,754.86/9,333.63 = 5,196.42/x
  3. Step 3: Cross multiply
    6,754.86x = 9,333.63 × 5,196.42
  4. Step 4: Simplify right side
    6,754.86x = 48,501,461.60
  5. Step 5: Solve for x
    x = 48,501,461.60/6,754.86
  6. Step 6: Final answer
    x = 7,180.23

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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.