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Finding the Fourth Proportional to 9,646.29, 14,446.08 and 6,676.43

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Solution

The fourth proportional to 9,646.29, 14,446.08 and 6,676.43 is: 9,998.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.29 : 14,446.08 = 6,676.43 : x
  2. Step 2: Convert to fraction form
    9,646.29/14,446.08 = 6,676.43/x
  3. Step 3: Cross multiply
    9,646.29x = 14,446.08 × 6,676.43
  4. Step 4: Simplify right side
    9,646.29x = 96,448,169.66
  5. Step 5: Solve for x
    x = 96,448,169.66/9,646.29
  6. Step 6: Final answer
    x = 9,998.47

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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.