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Finding the Fourth Proportional to 6,823.66, 9,415.76 and 3,990.50

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Solution

The fourth proportional to 6,823.66, 9,415.76 and 3,990.50 is: 5,506.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.66 : 9,415.76 = 3,990.50 : x
  2. Step 2: Convert to fraction form
    6,823.66/9,415.76 = 3,990.50/x
  3. Step 3: Cross multiply
    6,823.66x = 9,415.76 × 3,990.50
  4. Step 4: Simplify right side
    6,823.66x = 37,573,590.28
  5. Step 5: Solve for x
    x = 37,573,590.28/6,823.66
  6. Step 6: Final answer
    x = 5,506.37

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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.