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Finding the Fourth Proportional to 6,647.25, 9,977.07 and 3,362.66

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Solution

The fourth proportional to 6,647.25, 9,977.07 and 3,362.66 is: 5,047.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.25 : 9,977.07 = 3,362.66 : x
  2. Step 2: Convert to fraction form
    6,647.25/9,977.07 = 3,362.66/x
  3. Step 3: Cross multiply
    6,647.25x = 9,977.07 × 3,362.66
  4. Step 4: Simplify right side
    6,647.25x = 33,549,427.51
  5. Step 5: Solve for x
    x = 33,549,427.51/6,647.25
  6. Step 6: Final answer
    x = 5,047.11

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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.