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Finding the Fourth Proportional to 9,789.66, 13,513.64 and 6,647.67

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Solution

The fourth proportional to 9,789.66, 13,513.64 and 6,647.67 is: 9,176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.66 : 13,513.64 = 6,647.67 : x
  2. Step 2: Convert to fraction form
    9,789.66/13,513.64 = 6,647.67/x
  3. Step 3: Cross multiply
    9,789.66x = 13,513.64 × 6,647.67
  4. Step 4: Simplify right side
    9,789.66x = 89,834,185.98
  5. Step 5: Solve for x
    x = 89,834,185.98/9,789.66
  6. Step 6: Final answer
    x = 9,176.44

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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.