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Finding the Fourth Proportional to 9,196.85, 13,782.76 and 4,805.21

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Solution

The fourth proportional to 9,196.85, 13,782.76 and 4,805.21 is: 7,201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.85 : 13,782.76 = 4,805.21 : x
  2. Step 2: Convert to fraction form
    9,196.85/13,782.76 = 4,805.21/x
  3. Step 3: Cross multiply
    9,196.85x = 13,782.76 × 4,805.21
  4. Step 4: Simplify right side
    9,196.85x = 66,229,056.18
  5. Step 5: Solve for x
    x = 66,229,056.18/9,196.85
  6. Step 6: Final answer
    x = 7,201.28

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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.