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Finding the Fourth Proportional to 6,468.24, 9,695.34 and 4,246.14

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Solution

The fourth proportional to 6,468.24, 9,695.34 and 4,246.14 is: 6,364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.24 : 9,695.34 = 4,246.14 : x
  2. Step 2: Convert to fraction form
    6,468.24/9,695.34 = 4,246.14/x
  3. Step 3: Cross multiply
    6,468.24x = 9,695.34 × 4,246.14
  4. Step 4: Simplify right side
    6,468.24x = 41,167,770.99
  5. Step 5: Solve for x
    x = 41,167,770.99/6,468.24
  6. Step 6: Final answer
    x = 6,364.60

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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.