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Finding the Fourth Proportional to 9,122.56, 13,683.84 and 2,197.08

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Solution

The fourth proportional to 9,122.56, 13,683.84 and 2,197.08 is: 3,295.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.56 : 13,683.84 = 2,197.08 : x
  2. Step 2: Convert to fraction form
    9,122.56/13,683.84 = 2,197.08/x
  3. Step 3: Cross multiply
    9,122.56x = 13,683.84 × 2,197.08
  4. Step 4: Simplify right side
    9,122.56x = 30,064,491.19
  5. Step 5: Solve for x
    x = 30,064,491.19/9,122.56
  6. Step 6: Final answer
    x = 3,295.62

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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.