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Finding the Fourth Proportional to 9,122.40, 13,683.60 and 5,234.40

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Solution

The fourth proportional to 9,122.40, 13,683.60 and 5,234.40 is: 7,851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.40 : 13,683.60 = 5,234.40 : x
  2. Step 2: Convert to fraction form
    9,122.40/13,683.60 = 5,234.40/x
  3. Step 3: Cross multiply
    9,122.40x = 13,683.60 × 5,234.40
  4. Step 4: Simplify right side
    9,122.40x = 71,625,435.84
  5. Step 5: Solve for x
    x = 71,625,435.84/9,122.40
  6. Step 6: Final answer
    x = 7,851.60

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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.