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Finding the Fourth Proportional to 9,650.70, 14,475.51 and 2,725.02

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Solution

The fourth proportional to 9,650.70, 14,475.51 and 2,725.02 is: 4,087.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.70 : 14,475.51 = 2,725.02 : x
  2. Step 2: Convert to fraction form
    9,650.70/14,475.51 = 2,725.02/x
  3. Step 3: Cross multiply
    9,650.70x = 14,475.51 × 2,725.02
  4. Step 4: Simplify right side
    9,650.70x = 39,446,054.26
  5. Step 5: Solve for x
    x = 39,446,054.26/9,650.70
  6. Step 6: Final answer
    x = 4,087.38

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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.