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Finding the Fourth Proportional to 9,705.94, 14,546.75 and 4,152.78

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Solution

The fourth proportional to 9,705.94, 14,546.75 and 4,152.78 is: 6,223.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.94 : 14,546.75 = 4,152.78 : x
  2. Step 2: Convert to fraction form
    9,705.94/14,546.75 = 4,152.78/x
  3. Step 3: Cross multiply
    9,705.94x = 14,546.75 × 4,152.78
  4. Step 4: Simplify right side
    9,705.94x = 60,409,431.70
  5. Step 5: Solve for x
    x = 60,409,431.70/9,705.94
  6. Step 6: Final answer
    x = 6,223.97

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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.