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Finding the Fourth Proportional to 6,873.98, 9,486.26 and 4,219.88

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Solution

The fourth proportional to 6,873.98, 9,486.26 and 4,219.88 is: 5,823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.98 : 9,486.26 = 4,219.88 : x
  2. Step 2: Convert to fraction form
    6,873.98/9,486.26 = 4,219.88/x
  3. Step 3: Cross multiply
    6,873.98x = 9,486.26 × 4,219.88
  4. Step 4: Simplify right side
    6,873.98x = 40,030,878.85
  5. Step 5: Solve for x
    x = 40,030,878.85/6,873.98
  6. Step 6: Final answer
    x = 5,823.54

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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.