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Finding the Fourth Proportional to 6,761.70, 9,334.02 and 4,109.96

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Solution

The fourth proportional to 6,761.70, 9,334.02 and 4,109.96 is: 5,673.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.70 : 9,334.02 = 4,109.96 : x
  2. Step 2: Convert to fraction form
    6,761.70/9,334.02 = 4,109.96/x
  3. Step 3: Cross multiply
    6,761.70x = 9,334.02 × 4,109.96
  4. Step 4: Simplify right side
    6,761.70x = 38,362,402.17
  5. Step 5: Solve for x
    x = 38,362,402.17/6,761.70
  6. Step 6: Final answer
    x = 5,673.48

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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.