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Finding the Fourth Proportional to 6,103.14, 9,154.74 and 3,813.54

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Solution

The fourth proportional to 6,103.14, 9,154.74 and 3,813.54 is: 5,720.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.14 : 9,154.74 = 3,813.54 : x
  2. Step 2: Convert to fraction form
    6,103.14/9,154.74 = 3,813.54/x
  3. Step 3: Cross multiply
    6,103.14x = 9,154.74 × 3,813.54
  4. Step 4: Simplify right side
    6,103.14x = 34,911,967.18
  5. Step 5: Solve for x
    x = 34,911,967.18/6,103.14
  6. Step 6: Final answer
    x = 5,720.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.