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Finding the Fourth Proportional to 9,136.81, 12,590.07 and 7,012.23

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Solution

The fourth proportional to 9,136.81, 12,590.07 and 7,012.23 is: 9,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.81 : 12,590.07 = 7,012.23 : x
  2. Step 2: Convert to fraction form
    9,136.81/12,590.07 = 7,012.23/x
  3. Step 3: Cross multiply
    9,136.81x = 12,590.07 × 7,012.23
  4. Step 4: Simplify right side
    9,136.81x = 88,284,466.56
  5. Step 5: Solve for x
    x = 88,284,466.56/9,136.81
  6. Step 6: Final answer
    x = 9,662.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.