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Finding the Fourth Proportional to 6,959.53, 9,604.19 and 4,165.03

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Solution

The fourth proportional to 6,959.53, 9,604.19 and 4,165.03 is: 5,747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,959.53 : 9,604.19 = 4,165.03 : x
  2. Step 2: Convert to fraction form
    6,959.53/9,604.19 = 4,165.03/x
  3. Step 3: Cross multiply
    6,959.53x = 9,604.19 × 4,165.03
  4. Step 4: Simplify right side
    6,959.53x = 40,001,761.89
  5. Step 5: Solve for x
    x = 40,001,761.89/6,959.53
  6. Step 6: Final answer
    x = 5,747.77

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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.