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Finding the Fourth Proportional to 10,290.44, 14,201.07 and 6,309.19

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Solution

The fourth proportional to 10,290.44, 14,201.07 and 6,309.19 is: 8,706.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,290.44 : 14,201.07 = 6,309.19 : x
  2. Step 2: Convert to fraction form
    10,290.44/14,201.07 = 6,309.19/x
  3. Step 3: Cross multiply
    10,290.44x = 14,201.07 × 6,309.19
  4. Step 4: Simplify right side
    10,290.44x = 89,597,278.41
  5. Step 5: Solve for x
    x = 89,597,278.41/10,290.44
  6. Step 6: Final answer
    x = 8,706.84

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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.