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Finding the Fourth Proportional to 9,673.43, 13,249.28 and 9,106.02

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Solution

The fourth proportional to 9,673.43, 13,249.28 and 9,106.02 is: 12,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.43 : 13,249.28 = 9,106.02 : x
  2. Step 2: Convert to fraction form
    9,673.43/13,249.28 = 9,106.02/x
  3. Step 3: Cross multiply
    9,673.43x = 13,249.28 × 9,106.02
  4. Step 4: Simplify right side
    9,673.43x = 120,648,231.43
  5. Step 5: Solve for x
    x = 120,648,231.43/9,673.43
  6. Step 6: Final answer
    x = 12,472.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.