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Finding the Fourth Proportional to 6,823.23, 9,415.66 and 3,838.93

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Solution

The fourth proportional to 6,823.23, 9,415.66 and 3,838.93 is: 5,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.23 : 9,415.66 = 3,838.93 : x
  2. Step 2: Convert to fraction form
    6,823.23/9,415.66 = 3,838.93/x
  3. Step 3: Cross multiply
    6,823.23x = 9,415.66 × 3,838.93
  4. Step 4: Simplify right side
    6,823.23x = 36,146,059.64
  5. Step 5: Solve for x
    x = 36,146,059.64/6,823.23
  6. Step 6: Final answer
    x = 5,297.50

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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.