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Finding the Fourth Proportional to 9,136.06, 13,704.54 and 2,980.06

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Solution

The fourth proportional to 9,136.06, 13,704.54 and 2,980.06 is: 4,470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.06 : 13,704.54 = 2,980.06 : x
  2. Step 2: Convert to fraction form
    9,136.06/13,704.54 = 2,980.06/x
  3. Step 3: Cross multiply
    9,136.06x = 13,704.54 × 2,980.06
  4. Step 4: Simplify right side
    9,136.06x = 40,840,396.91
  5. Step 5: Solve for x
    x = 40,840,396.91/9,136.06
  6. Step 6: Final answer
    x = 4,470.24

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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.