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Finding the Fourth Proportional to 6,833.63, 9,428.78 and 3,848.87

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Solution

The fourth proportional to 6,833.63, 9,428.78 and 3,848.87 is: 5,310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.63 : 9,428.78 = 3,848.87 : x
  2. Step 2: Convert to fraction form
    6,833.63/9,428.78 = 3,848.87/x
  3. Step 3: Cross multiply
    6,833.63x = 9,428.78 × 3,848.87
  4. Step 4: Simplify right side
    6,833.63x = 36,290,148.48
  5. Step 5: Solve for x
    x = 36,290,148.48/6,833.63
  6. Step 6: Final answer
    x = 5,310.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.