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Finding the Fourth Proportional to 9,846.02, 14,761.73 and 5,949.51

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Solution

The fourth proportional to 9,846.02, 14,761.73 and 5,949.51 is: 8,919.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.02 : 14,761.73 = 5,949.51 : x
  2. Step 2: Convert to fraction form
    9,846.02/14,761.73 = 5,949.51/x
  3. Step 3: Cross multiply
    9,846.02x = 14,761.73 × 5,949.51
  4. Step 4: Simplify right side
    9,846.02x = 87,825,030.50
  5. Step 5: Solve for x
    x = 87,825,030.50/9,846.02
  6. Step 6: Final answer
    x = 8,919.86

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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.