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Finding the Fourth Proportional to 9,647.94, 14,472.98 and 3,072.63

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Solution

The fourth proportional to 9,647.94, 14,472.98 and 3,072.63 is: 4,609.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.94 : 14,472.98 = 3,072.63 : x
  2. Step 2: Convert to fraction form
    9,647.94/14,472.98 = 3,072.63/x
  3. Step 3: Cross multiply
    9,647.94x = 14,472.98 × 3,072.63
  4. Step 4: Simplify right side
    9,647.94x = 44,470,162.97
  5. Step 5: Solve for x
    x = 44,470,162.97/9,647.94
  6. Step 6: Final answer
    x = 4,609.29

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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.