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Finding the Fourth Proportional to 7,096.08, 9,789.65 and 4,224.22

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Solution

The fourth proportional to 7,096.08, 9,789.65 and 4,224.22 is: 5,827.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.08 : 9,789.65 = 4,224.22 : x
  2. Step 2: Convert to fraction form
    7,096.08/9,789.65 = 4,224.22/x
  3. Step 3: Cross multiply
    7,096.08x = 9,789.65 × 4,224.22
  4. Step 4: Simplify right side
    7,096.08x = 41,353,635.32
  5. Step 5: Solve for x
    x = 41,353,635.32/7,096.08
  6. Step 6: Final answer
    x = 5,827.67

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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.