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Finding the Fourth Proportional to 9,682.23, 14,504.31 and 6,385.26

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Solution

The fourth proportional to 9,682.23, 14,504.31 and 6,385.26 is: 9,565.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.23 : 14,504.31 = 6,385.26 : x
  2. Step 2: Convert to fraction form
    9,682.23/14,504.31 = 6,385.26/x
  3. Step 3: Cross multiply
    9,682.23x = 14,504.31 × 6,385.26
  4. Step 4: Simplify right side
    9,682.23x = 92,613,790.47
  5. Step 5: Solve for x
    x = 92,613,790.47/9,682.23
  6. Step 6: Final answer
    x = 9,565.34

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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.