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Finding the Fourth Proportional to 7,106.12, 9,806.32 and 3,919.72

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Solution

The fourth proportional to 7,106.12, 9,806.32 and 3,919.72 is: 5,409.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.12 : 9,806.32 = 3,919.72 : x
  2. Step 2: Convert to fraction form
    7,106.12/9,806.32 = 3,919.72/x
  3. Step 3: Cross multiply
    7,106.12x = 9,806.32 × 3,919.72
  4. Step 4: Simplify right side
    7,106.12x = 38,438,028.63
  5. Step 5: Solve for x
    x = 38,438,028.63/7,106.12
  6. Step 6: Final answer
    x = 5,409.15

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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.