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Finding the Fourth Proportional to 9,645.97, 14,471.25 and 3,072.14

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Solution

The fourth proportional to 9,645.97, 14,471.25 and 3,072.14 is: 4,608.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.97 : 14,471.25 = 3,072.14 : x
  2. Step 2: Convert to fraction form
    9,645.97/14,471.25 = 3,072.14/x
  3. Step 3: Cross multiply
    9,645.97x = 14,471.25 × 3,072.14
  4. Step 4: Simplify right side
    9,645.97x = 44,457,690.61
  5. Step 5: Solve for x
    x = 44,457,690.61/9,645.97
  6. Step 6: Final answer
    x = 4,608.94

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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.