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Finding the Fourth Proportional to 6,554.40, 9,815.96 and 3,775.25

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Solution

The fourth proportional to 6,554.40, 9,815.96 and 3,775.25 is: 5,653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,554.40 : 9,815.96 = 3,775.25 : x
  2. Step 2: Convert to fraction form
    6,554.40/9,815.96 = 3,775.25/x
  3. Step 3: Cross multiply
    6,554.40x = 9,815.96 × 3,775.25
  4. Step 4: Simplify right side
    6,554.40x = 37,057,635.03
  5. Step 5: Solve for x
    x = 37,057,635.03/6,554.40
  6. Step 6: Final answer
    x = 5,653.86

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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.