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Finding the Fourth Proportional to 9,653.75, 14,480.63 and 2,728.43

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Solution

The fourth proportional to 9,653.75, 14,480.63 and 2,728.43 is: 4,092.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.75 : 14,480.63 = 2,728.43 : x
  2. Step 2: Convert to fraction form
    9,653.75/14,480.63 = 2,728.43/x
  3. Step 3: Cross multiply
    9,653.75x = 14,480.63 × 2,728.43
  4. Step 4: Simplify right side
    9,653.75x = 39,509,385.31
  5. Step 5: Solve for x
    x = 39,509,385.31/9,653.75
  6. Step 6: Final answer
    x = 4,092.65

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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.