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Finding the Fourth Proportional to 6,554.36, 9,825.37 and 3,264.35

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Solution

The fourth proportional to 6,554.36, 9,825.37 and 3,264.35 is: 4,893.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.36 : 9,825.37 = 3,264.35 : x
  2. Step 2: Convert to fraction form
    6,554.36/9,825.37 = 3,264.35/x
  3. Step 3: Cross multiply
    6,554.36x = 9,825.37 × 3,264.35
  4. Step 4: Simplify right side
    6,554.36x = 32,073,389.27
  5. Step 5: Solve for x
    x = 32,073,389.27/6,554.36
  6. Step 6: Final answer
    x = 4,893.44

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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.