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Finding the Fourth Proportional to 6,842.44, 9,442.58 and 3,698.63

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Solution

The fourth proportional to 6,842.44, 9,442.58 and 3,698.63 is: 5,104.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.44 : 9,442.58 = 3,698.63 : x
  2. Step 2: Convert to fraction form
    6,842.44/9,442.58 = 3,698.63/x
  3. Step 3: Cross multiply
    6,842.44x = 9,442.58 × 3,698.63
  4. Step 4: Simplify right side
    6,842.44x = 34,924,543.96
  5. Step 5: Solve for x
    x = 34,924,543.96/6,842.44
  6. Step 6: Final answer
    x = 5,104.11

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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.