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Finding the Fourth Proportional to 6,966.12, 9,608.28 and 4,611.48

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Solution

The fourth proportional to 6,966.12, 9,608.28 and 4,611.48 is: 6,360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966.12 : 9,608.28 = 4,611.48 : x
  2. Step 2: Convert to fraction form
    6,966.12/9,608.28 = 4,611.48/x
  3. Step 3: Cross multiply
    6,966.12x = 9,608.28 × 4,611.48
  4. Step 4: Simplify right side
    6,966.12x = 44,308,391.05
  5. Step 5: Solve for x
    x = 44,308,391.05/6,966.12
  6. Step 6: Final answer
    x = 6,360.56

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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.