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Finding the Fourth Proportional to 6,277.56, 9,410.74 and 2,384.70

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Solution

The fourth proportional to 6,277.56, 9,410.74 and 2,384.70 is: 3,574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.56 : 9,410.74 = 2,384.70 : x
  2. Step 2: Convert to fraction form
    6,277.56/9,410.74 = 2,384.70/x
  3. Step 3: Cross multiply
    6,277.56x = 9,410.74 × 2,384.70
  4. Step 4: Simplify right side
    6,277.56x = 22,441,791.68
  5. Step 5: Solve for x
    x = 22,441,791.68/6,277.56
  6. Step 6: Final answer
    x = 3,574.92

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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.