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Finding the Fourth Proportional to 6,465.06, 8,918.78 and 4,226.11

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Solution

The fourth proportional to 6,465.06, 8,918.78 and 4,226.11 is: 5,830.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.06 : 8,918.78 = 4,226.11 : x
  2. Step 2: Convert to fraction form
    6,465.06/8,918.78 = 4,226.11/x
  3. Step 3: Cross multiply
    6,465.06x = 8,918.78 × 4,226.11
  4. Step 4: Simplify right side
    6,465.06x = 37,691,745.35
  5. Step 5: Solve for x
    x = 37,691,745.35/6,465.06
  6. Step 6: Final answer
    x = 5,830.07

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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.