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Finding the Fourth Proportional to 9,101.37, 13,662.99 and 6,170.79

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Solution

The fourth proportional to 9,101.37, 13,662.99 and 6,170.79 is: 9,263.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.37 : 13,662.99 = 6,170.79 : x
  2. Step 2: Convert to fraction form
    9,101.37/13,662.99 = 6,170.79/x
  3. Step 3: Cross multiply
    9,101.37x = 13,662.99 × 6,170.79
  4. Step 4: Simplify right side
    9,101.37x = 84,311,442.06
  5. Step 5: Solve for x
    x = 84,311,442.06/9,101.37
  6. Step 6: Final answer
    x = 9,263.60

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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.