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Finding the Fourth Proportional to 9,664.32, 14,562.32 and 7,947.78

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Solution

The fourth proportional to 9,664.32, 14,562.32 and 7,947.78 is: 11,975.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.32 : 14,562.32 = 7,947.78 : x
  2. Step 2: Convert to fraction form
    9,664.32/14,562.32 = 7,947.78/x
  3. Step 3: Cross multiply
    9,664.32x = 14,562.32 × 7,947.78
  4. Step 4: Simplify right side
    9,664.32x = 115,738,115.65
  5. Step 5: Solve for x
    x = 115,738,115.65/9,664.32
  6. Step 6: Final answer
    x = 11,975.82

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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.