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Finding the Fourth Proportional to 9,571.91, 14,357.84 and 2,551.93

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Solution

The fourth proportional to 9,571.91, 14,357.84 and 2,551.93 is: 3,827.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.91 : 14,357.84 = 2,551.93 : x
  2. Step 2: Convert to fraction form
    9,571.91/14,357.84 = 2,551.93/x
  3. Step 3: Cross multiply
    9,571.91x = 14,357.84 × 2,551.93
  4. Step 4: Simplify right side
    9,571.91x = 36,640,153.98
  5. Step 5: Solve for x
    x = 36,640,153.98/9,571.91
  6. Step 6: Final answer
    x = 3,827.89

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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.