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Finding the Fourth Proportional to 6,805.19, 9,384.26 and 6,408.34

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Solution

The fourth proportional to 6,805.19, 9,384.26 and 6,408.34 is: 8,837.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.19 : 9,384.26 = 6,408.34 : x
  2. Step 2: Convert to fraction form
    6,805.19/9,384.26 = 6,408.34/x
  3. Step 3: Cross multiply
    6,805.19x = 9,384.26 × 6,408.34
  4. Step 4: Simplify right side
    6,805.19x = 60,137,497.26
  5. Step 5: Solve for x
    x = 60,137,497.26/6,805.19
  6. Step 6: Final answer
    x = 8,837.00

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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.