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Finding the Fourth Proportional to 9,664.45, 14,562.51 and 7,947.91

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Solution

The fourth proportional to 9,664.45, 14,562.51 and 7,947.91 is: 11,976.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.45 : 14,562.51 = 7,947.91 : x
  2. Step 2: Convert to fraction form
    9,664.45/14,562.51 = 7,947.91/x
  3. Step 3: Cross multiply
    9,664.45x = 14,562.51 × 7,947.91
  4. Step 4: Simplify right side
    9,664.45x = 115,741,446.04
  5. Step 5: Solve for x
    x = 115,741,446.04/9,664.45
  6. Step 6: Final answer
    x = 11,976.01

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.