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Finding the Fourth Proportional to 9,172.16, 13,762.82 and 3,910.60

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Solution

The fourth proportional to 9,172.16, 13,762.82 and 3,910.60 is: 5,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.16 : 13,762.82 = 3,910.60 : x
  2. Step 2: Convert to fraction form
    9,172.16/13,762.82 = 3,910.60/x
  3. Step 3: Cross multiply
    9,172.16x = 13,762.82 × 3,910.60
  4. Step 4: Simplify right side
    9,172.16x = 53,820,883.89
  5. Step 5: Solve for x
    x = 53,820,883.89/9,172.16
  6. Step 6: Final answer
    x = 5,867.85

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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.