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Finding the Fourth Proportional to 6,884.12, 9,494.79 and 4,642.44

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Solution

The fourth proportional to 6,884.12, 9,494.79 and 4,642.44 is: 6,403.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.12 : 9,494.79 = 4,642.44 : x
  2. Step 2: Convert to fraction form
    6,884.12/9,494.79 = 4,642.44/x
  3. Step 3: Cross multiply
    6,884.12x = 9,494.79 × 4,642.44
  4. Step 4: Simplify right side
    6,884.12x = 44,078,992.89
  5. Step 5: Solve for x
    x = 44,078,992.89/6,884.12
  6. Step 6: Final answer
    x = 6,403.00

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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.