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Finding the Fourth Proportional to 6,958.34, 9,603.30 and 3,974.60

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Solution

The fourth proportional to 6,958.34, 9,603.30 and 3,974.60 is: 5,485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,958.34 : 9,603.30 = 3,974.60 : x
  2. Step 2: Convert to fraction form
    6,958.34/9,603.30 = 3,974.60/x
  3. Step 3: Cross multiply
    6,958.34x = 9,603.30 × 3,974.60
  4. Step 4: Simplify right side
    6,958.34x = 38,169,276.18
  5. Step 5: Solve for x
    x = 38,169,276.18/6,958.34
  6. Step 6: Final answer
    x = 5,485.40

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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.