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Finding the Fourth Proportional to 6,293.21, 9,430.86 and 4,636.73

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Solution

The fourth proportional to 6,293.21, 9,430.86 and 4,636.73 is: 6,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.21 : 9,430.86 = 4,636.73 : x
  2. Step 2: Convert to fraction form
    6,293.21/9,430.86 = 4,636.73/x
  3. Step 3: Cross multiply
    6,293.21x = 9,430.86 × 4,636.73
  4. Step 4: Simplify right side
    6,293.21x = 43,728,351.49
  5. Step 5: Solve for x
    x = 43,728,351.49/6,293.21
  6. Step 6: Final answer
    x = 6,948.50

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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.