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Finding the Fourth Proportional to 6,675.85, 9,216.57 and 5,937.67

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Solution

The fourth proportional to 6,675.85, 9,216.57 and 5,937.67 is: 8,197.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.85 : 9,216.57 = 5,937.67 : x
  2. Step 2: Convert to fraction form
    6,675.85/9,216.57 = 5,937.67/x
  3. Step 3: Cross multiply
    6,675.85x = 9,216.57 × 5,937.67
  4. Step 4: Simplify right side
    6,675.85x = 54,724,951.19
  5. Step 5: Solve for x
    x = 54,724,951.19/6,675.85
  6. Step 6: Final answer
    x = 8,197.45

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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.