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Finding the Fourth Proportional to 6,958.36, 9,603.15 and 3,975.16

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Solution

The fourth proportional to 6,958.36, 9,603.15 and 3,975.16 is: 5,486.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.36 : 9,603.15 = 3,975.16 : x
  2. Step 2: Convert to fraction form
    6,958.36/9,603.15 = 3,975.16/x
  3. Step 3: Cross multiply
    6,958.36x = 9,603.15 × 3,975.16
  4. Step 4: Simplify right side
    6,958.36x = 38,174,057.75
  5. Step 5: Solve for x
    x = 38,174,057.75/6,958.36
  6. Step 6: Final answer
    x = 5,486.07

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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.