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Finding the Fourth Proportional to 7,106.04, 9,806.40 and 3,919.46

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Solution

The fourth proportional to 7,106.04, 9,806.40 and 3,919.46 is: 5,408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.04 : 9,806.40 = 3,919.46 : x
  2. Step 2: Convert to fraction form
    7,106.04/9,806.40 = 3,919.46/x
  3. Step 3: Cross multiply
    7,106.04x = 9,806.40 × 3,919.46
  4. Step 4: Simplify right side
    7,106.04x = 38,435,792.54
  5. Step 5: Solve for x
    x = 38,435,792.54/7,106.04
  6. Step 6: Final answer
    x = 5,408.89

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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.