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Finding the Fourth Proportional to 9,382.82, 14,106.63 and 9,136.58

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Solution

The fourth proportional to 9,382.82, 14,106.63 and 9,136.58 is: 13,736.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.82 : 14,106.63 = 9,136.58 : x
  2. Step 2: Convert to fraction form
    9,382.82/14,106.63 = 9,136.58/x
  3. Step 3: Cross multiply
    9,382.82x = 14,106.63 × 9,136.58
  4. Step 4: Simplify right side
    9,382.82x = 128,886,353.53
  5. Step 5: Solve for x
    x = 128,886,353.53/9,382.82
  6. Step 6: Final answer
    x = 13,736.42

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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.