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Finding the Fourth Proportional to 6,825.04, 9,418.69 and 3,840.86

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Solution

The fourth proportional to 6,825.04, 9,418.69 and 3,840.86 is: 5,300.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.04 : 9,418.69 = 3,840.86 : x
  2. Step 2: Convert to fraction form
    6,825.04/9,418.69 = 3,840.86/x
  3. Step 3: Cross multiply
    6,825.04x = 9,418.69 × 3,840.86
  4. Step 4: Simplify right side
    6,825.04x = 36,175,898.02
  5. Step 5: Solve for x
    x = 36,175,898.02/6,825.04
  6. Step 6: Final answer
    x = 5,300.47

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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.