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Finding the Fourth Proportional to 9,136.60, 13,705.94 and 4,982.68

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Solution

The fourth proportional to 9,136.60, 13,705.94 and 4,982.68 is: 7,474.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.60 : 13,705.94 = 4,982.68 : x
  2. Step 2: Convert to fraction form
    9,136.60/13,705.94 = 4,982.68/x
  3. Step 3: Cross multiply
    9,136.60x = 13,705.94 × 4,982.68
  4. Step 4: Simplify right side
    9,136.60x = 68,292,342.71
  5. Step 5: Solve for x
    x = 68,292,342.71/9,136.60
  6. Step 6: Final answer
    x = 7,474.59

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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.