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Finding the Fourth Proportional to 6,245.90, 9,365.76 and 3,323.42

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Solution

The fourth proportional to 6,245.90, 9,365.76 and 3,323.42 is: 4,983.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,245.90 : 9,365.76 = 3,323.42 : x
  2. Step 2: Convert to fraction form
    6,245.90/9,365.76 = 3,323.42/x
  3. Step 3: Cross multiply
    6,245.90x = 9,365.76 × 3,323.42
  4. Step 4: Simplify right side
    6,245.90x = 31,126,354.10
  5. Step 5: Solve for x
    x = 31,126,354.10/6,245.90
  6. Step 6: Final answer
    x = 4,983.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.