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Finding the Fourth Proportional to 6,976.56, 9,627.12 and 4,181.52

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Solution

The fourth proportional to 6,976.56, 9,627.12 and 4,181.52 is: 5,770.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.56 : 9,627.12 = 4,181.52 : x
  2. Step 2: Convert to fraction form
    6,976.56/9,627.12 = 4,181.52/x
  3. Step 3: Cross multiply
    6,976.56x = 9,627.12 × 4,181.52
  4. Step 4: Simplify right side
    6,976.56x = 40,255,994.82
  5. Step 5: Solve for x
    x = 40,255,994.82/6,976.56
  6. Step 6: Final answer
    x = 5,770.18

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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.