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Finding the Fourth Proportional to 9,625.41, 14,419.17 and 6,328.44

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Solution

The fourth proportional to 9,625.41, 14,419.17 and 6,328.44 is: 9,480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.41 : 14,419.17 = 6,328.44 : x
  2. Step 2: Convert to fraction form
    9,625.41/14,419.17 = 6,328.44/x
  3. Step 3: Cross multiply
    9,625.41x = 14,419.17 × 6,328.44
  4. Step 4: Simplify right side
    9,625.41x = 91,250,852.19
  5. Step 5: Solve for x
    x = 91,250,852.19/9,625.41
  6. Step 6: Final answer
    x = 9,480.20

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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.