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Finding the Fourth Proportional to 9,208.34, 13,812.16 and 2,968.68

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Solution

The fourth proportional to 9,208.34, 13,812.16 and 2,968.68 is: 4,452.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.34 : 13,812.16 = 2,968.68 : x
  2. Step 2: Convert to fraction form
    9,208.34/13,812.16 = 2,968.68/x
  3. Step 3: Cross multiply
    9,208.34x = 13,812.16 × 2,968.68
  4. Step 4: Simplify right side
    9,208.34x = 41,003,883.15
  5. Step 5: Solve for x
    x = 41,003,883.15/9,208.34
  6. Step 6: Final answer
    x = 4,452.91

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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.