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Finding the Fourth Proportional to 6,462.08, 9,686.64 and 2,762

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Solution

The fourth proportional to 6,462.08, 9,686.64 and 2,762 is: 4,140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.08 : 9,686.64 = 2,762 : x
  2. Step 2: Convert to fraction form
    6,462.08/9,686.64 = 2,762/x
  3. Step 3: Cross multiply
    6,462.08x = 9,686.64 × 2,762
  4. Step 4: Simplify right side
    6,462.08x = 26,754,499.68
  5. Step 5: Solve for x
    x = 26,754,499.68/6,462.08
  6. Step 6: Final answer
    x = 4,140.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.