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Finding the Fourth Proportional to 10,453.54, 14,417.43 and 9,191.97

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Solution

The fourth proportional to 10,453.54, 14,417.43 and 9,191.97 is: 12,677.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.54 : 14,417.43 = 9,191.97 : x
  2. Step 2: Convert to fraction form
    10,453.54/14,417.43 = 9,191.97/x
  3. Step 3: Cross multiply
    10,453.54x = 14,417.43 × 9,191.97
  4. Step 4: Simplify right side
    10,453.54x = 132,524,584.04
  5. Step 5: Solve for x
    x = 132,524,584.04/10,453.54
  6. Step 6: Final answer
    x = 12,677.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.