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Finding the Fourth Proportional to 6,468.23, 9,695.43 and 3,688.92

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Solution

The fourth proportional to 6,468.23, 9,695.43 and 3,688.92 is: 5,529.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.23 : 9,695.43 = 3,688.92 : x
  2. Step 2: Convert to fraction form
    6,468.23/9,695.43 = 3,688.92/x
  3. Step 3: Cross multiply
    6,468.23x = 9,695.43 × 3,688.92
  4. Step 4: Simplify right side
    6,468.23x = 35,765,643.11
  5. Step 5: Solve for x
    x = 35,765,643.11/6,468.23
  6. Step 6: Final answer
    x = 5,529.43

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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.