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Finding the Fourth Proportional to 9,136.52, 13,694.80 and 4,687.96

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Solution

The fourth proportional to 9,136.52, 13,694.80 and 4,687.96 is: 7,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.52 : 13,694.80 = 4,687.96 : x
  2. Step 2: Convert to fraction form
    9,136.52/13,694.80 = 4,687.96/x
  3. Step 3: Cross multiply
    9,136.52x = 13,694.80 × 4,687.96
  4. Step 4: Simplify right side
    9,136.52x = 64,200,674.61
  5. Step 5: Solve for x
    x = 64,200,674.61/9,136.52
  6. Step 6: Final answer
    x = 7,026.82

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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.