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Finding the Fourth Proportional to 6,860.68, 9,464.26 and 4,338.54

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Solution

The fourth proportional to 6,860.68, 9,464.26 and 4,338.54 is: 5,984.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,860.68 : 9,464.26 = 4,338.54 : x
  2. Step 2: Convert to fraction form
    6,860.68/9,464.26 = 4,338.54/x
  3. Step 3: Cross multiply
    6,860.68x = 9,464.26 × 4,338.54
  4. Step 4: Simplify right side
    6,860.68x = 41,061,070.58
  5. Step 5: Solve for x
    x = 41,061,070.58/6,860.68
  6. Step 6: Final answer
    x = 5,984.99

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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.