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Finding the Fourth Proportional to 6,238.14, 9,356.14 and 2,077.67

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Solution

The fourth proportional to 6,238.14, 9,356.14 and 2,077.67 is: 3,116.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.14 : 9,356.14 = 2,077.67 : x
  2. Step 2: Convert to fraction form
    6,238.14/9,356.14 = 2,077.67/x
  3. Step 3: Cross multiply
    6,238.14x = 9,356.14 × 2,077.67
  4. Step 4: Simplify right side
    6,238.14x = 19,438,971.39
  5. Step 5: Solve for x
    x = 19,438,971.39/6,238.14
  6. Step 6: Final answer
    x = 3,116.15

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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.