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Finding the Fourth Proportional to 9,136.60, 13,707.43 and 2,896.97

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Solution

The fourth proportional to 9,136.60, 13,707.43 and 2,896.97 is: 4,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.60 : 13,707.43 = 2,896.97 : x
  2. Step 2: Convert to fraction form
    9,136.60/13,707.43 = 2,896.97/x
  3. Step 3: Cross multiply
    9,136.60x = 13,707.43 × 2,896.97
  4. Step 4: Simplify right side
    9,136.60x = 39,709,937.71
  5. Step 5: Solve for x
    x = 39,709,937.71/9,136.60
  6. Step 6: Final answer
    x = 4,346.25

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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.