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Finding the Fourth Proportional to 9,725.84, 14,591.07 and 3,152.03

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Solution

The fourth proportional to 9,725.84, 14,591.07 and 3,152.03 is: 4,728.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.84 : 14,591.07 = 3,152.03 : x
  2. Step 2: Convert to fraction form
    9,725.84/14,591.07 = 3,152.03/x
  3. Step 3: Cross multiply
    9,725.84x = 14,591.07 × 3,152.03
  4. Step 4: Simplify right side
    9,725.84x = 45,991,446.01
  5. Step 5: Solve for x
    x = 45,991,446.01/9,725.84
  6. Step 6: Final answer
    x = 4,728.79

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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.