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Finding the Fourth Proportional to 6,755.69, 9,325.70 and 4,103.96

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Solution

The fourth proportional to 6,755.69, 9,325.70 and 4,103.96 is: 5,665.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,755.69 : 9,325.70 = 4,103.96 : x
  2. Step 2: Convert to fraction form
    6,755.69/9,325.70 = 4,103.96/x
  3. Step 3: Cross multiply
    6,755.69x = 9,325.70 × 4,103.96
  4. Step 4: Simplify right side
    6,755.69x = 38,272,263.40
  5. Step 5: Solve for x
    x = 38,272,263.40/6,755.69
  6. Step 6: Final answer
    x = 5,665.19

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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.