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Finding the Fourth Proportional to 6,368.88, 9,540.89 and 4,170.94

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Solution

The fourth proportional to 6,368.88, 9,540.89 and 4,170.94 is: 6,248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.88 : 9,540.89 = 4,170.94 : x
  2. Step 2: Convert to fraction form
    6,368.88/9,540.89 = 4,170.94/x
  3. Step 3: Cross multiply
    6,368.88x = 9,540.89 × 4,170.94
  4. Step 4: Simplify right side
    6,368.88x = 39,794,479.74
  5. Step 5: Solve for x
    x = 39,794,479.74/6,368.88
  6. Step 6: Final answer
    x = 6,248.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.