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Finding the Fourth Proportional to 9,647.72, 13,302.18 and 8,153

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Solution

The fourth proportional to 9,647.72, 13,302.18 and 8,153 is: 11,241.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.72 : 13,302.18 = 8,153 : x
  2. Step 2: Convert to fraction form
    9,647.72/13,302.18 = 8,153/x
  3. Step 3: Cross multiply
    9,647.72x = 13,302.18 × 8,153
  4. Step 4: Simplify right side
    9,647.72x = 108,452,673.54
  5. Step 5: Solve for x
    x = 108,452,673.54/9,647.72
  6. Step 6: Final answer
    x = 11,241.27

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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.