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Finding the Fourth Proportional to 6,776.57, 9,349.89 and 4,226.35

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Solution

The fourth proportional to 6,776.57, 9,349.89 and 4,226.35 is: 5,831.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.57 : 9,349.89 = 4,226.35 : x
  2. Step 2: Convert to fraction form
    6,776.57/9,349.89 = 4,226.35/x
  3. Step 3: Cross multiply
    6,776.57x = 9,349.89 × 4,226.35
  4. Step 4: Simplify right side
    6,776.57x = 39,515,907.60
  5. Step 5: Solve for x
    x = 39,515,907.60/6,776.57
  6. Step 6: Final answer
    x = 5,831.25

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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.