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Finding the Fourth Proportional to 6,828.93, 9,423.35 and 3,844.22

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Solution

The fourth proportional to 6,828.93, 9,423.35 and 3,844.22 is: 5,304.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.93 : 9,423.35 = 3,844.22 : x
  2. Step 2: Convert to fraction form
    6,828.93/9,423.35 = 3,844.22/x
  3. Step 3: Cross multiply
    6,828.93x = 9,423.35 × 3,844.22
  4. Step 4: Simplify right side
    6,828.93x = 36,225,364.20
  5. Step 5: Solve for x
    x = 36,225,364.20/6,828.93
  6. Step 6: Final answer
    x = 5,304.69

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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.