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Finding the Fourth Proportional to 7,106.50, 9,806.85 and 3,920.10

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Solution

The fourth proportional to 7,106.50, 9,806.85 and 3,920.10 is: 5,409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.50 : 9,806.85 = 3,920.10 : x
  2. Step 2: Convert to fraction form
    7,106.50/9,806.85 = 3,920.10/x
  3. Step 3: Cross multiply
    7,106.50x = 9,806.85 × 3,920.10
  4. Step 4: Simplify right side
    7,106.50x = 38,443,832.69
  5. Step 5: Solve for x
    x = 38,443,832.69/7,106.50
  6. Step 6: Final answer
    x = 5,409.67

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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.