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Finding the Fourth Proportional to 6,960.06, 9,604.92 and 4,165.56

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Solution

The fourth proportional to 6,960.06, 9,604.92 and 4,165.56 is: 5,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960.06 : 9,604.92 = 4,165.56 : x
  2. Step 2: Convert to fraction form
    6,960.06/9,604.92 = 4,165.56/x
  3. Step 3: Cross multiply
    6,960.06x = 9,604.92 × 4,165.56
  4. Step 4: Simplify right side
    6,960.06x = 40,009,870.56
  5. Step 5: Solve for x
    x = 40,009,870.56/6,960.06
  6. Step 6: Final answer
    x = 5,748.50

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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.