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Finding the Fourth Proportional to 9,021.32, 12,443.94 and 5,486.96

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Solution

The fourth proportional to 9,021.32, 12,443.94 and 5,486.96 is: 7,568.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.32 : 12,443.94 = 5,486.96 : x
  2. Step 2: Convert to fraction form
    9,021.32/12,443.94 = 5,486.96/x
  3. Step 3: Cross multiply
    9,021.32x = 12,443.94 × 5,486.96
  4. Step 4: Simplify right side
    9,021.32x = 68,279,401.02
  5. Step 5: Solve for x
    x = 68,279,401.02/9,021.32
  6. Step 6: Final answer
    x = 7,568.67

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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.