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Finding the Fourth Proportional to 9,423.32, 12,999.74 and 5,644.67

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Solution

The fourth proportional to 9,423.32, 12,999.74 and 5,644.67 is: 7,786.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.32 : 12,999.74 = 5,644.67 : x
  2. Step 2: Convert to fraction form
    9,423.32/12,999.74 = 5,644.67/x
  3. Step 3: Cross multiply
    9,423.32x = 12,999.74 × 5,644.67
  4. Step 4: Simplify right side
    9,423.32x = 73,379,149.16
  5. Step 5: Solve for x
    x = 73,379,149.16/9,423.32
  6. Step 6: Final answer
    x = 7,786.98

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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.