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Finding the Fourth Proportional to 6,277.40, 9,410.70 and 3,809.60

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Solution

The fourth proportional to 6,277.40, 9,410.70 and 3,809.60 is: 5,711.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.40 : 9,410.70 = 3,809.60 : x
  2. Step 2: Convert to fraction form
    6,277.40/9,410.70 = 3,809.60/x
  3. Step 3: Cross multiply
    6,277.40x = 9,410.70 × 3,809.60
  4. Step 4: Simplify right side
    6,277.40x = 35,851,002.72
  5. Step 5: Solve for x
    x = 35,851,002.72/6,277.40
  6. Step 6: Final answer
    x = 5,711.12

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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.