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Finding the Fourth Proportional to 6,277.40, 8,668.32 and 3,923.56

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Solution

The fourth proportional to 6,277.40, 8,668.32 and 3,923.56 is: 5,417.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.40 : 8,668.32 = 3,923.56 : x
  2. Step 2: Convert to fraction form
    6,277.40/8,668.32 = 3,923.56/x
  3. Step 3: Cross multiply
    6,277.40x = 8,668.32 × 3,923.56
  4. Step 4: Simplify right side
    6,277.40x = 34,010,673.62
  5. Step 5: Solve for x
    x = 34,010,673.62/6,277.40
  6. Step 6: Final answer
    x = 5,417.96

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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.