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Finding the Fourth Proportional to 9,996.61, 14,993.72 and 7,777.67

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Solution

The fourth proportional to 9,996.61, 14,993.72 and 7,777.67 is: 11,665.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,996.61 : 14,993.72 = 7,777.67 : x
  2. Step 2: Convert to fraction form
    9,996.61/14,993.72 = 7,777.67/x
  3. Step 3: Cross multiply
    9,996.61x = 14,993.72 × 7,777.67
  4. Step 4: Simplify right side
    9,996.61x = 116,616,188.19
  5. Step 5: Solve for x
    x = 116,616,188.19/9,996.61
  6. Step 6: Final answer
    x = 11,665.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.