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Finding the Fourth Proportional to 6,955.75, 9,598.94 and 3,812.01

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Solution

The fourth proportional to 6,955.75, 9,598.94 and 3,812.01 is: 5,260.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,955.75 : 9,598.94 = 3,812.01 : x
  2. Step 2: Convert to fraction form
    6,955.75/9,598.94 = 3,812.01/x
  3. Step 3: Cross multiply
    6,955.75x = 9,598.94 × 3,812.01
  4. Step 4: Simplify right side
    6,955.75x = 36,591,255.27
  5. Step 5: Solve for x
    x = 36,591,255.27/6,955.75
  6. Step 6: Final answer
    x = 5,260.58

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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.