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Finding the Fourth Proportional to 6,878.30, 9,494.44 and 4,225.94

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Solution

The fourth proportional to 6,878.30, 9,494.44 and 4,225.94 is: 5,833.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.30 : 9,494.44 = 4,225.94 : x
  2. Step 2: Convert to fraction form
    6,878.30/9,494.44 = 4,225.94/x
  3. Step 3: Cross multiply
    6,878.30x = 9,494.44 × 4,225.94
  4. Step 4: Simplify right side
    6,878.30x = 40,122,933.77
  5. Step 5: Solve for x
    x = 40,122,933.77/6,878.30
  6. Step 6: Final answer
    x = 5,833.26

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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.