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Finding the Fourth Proportional to 6,784.35, 9,363.77 and 4,636.63

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Solution

The fourth proportional to 6,784.35, 9,363.77 and 4,636.63 is: 6,399.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.35 : 9,363.77 = 4,636.63 : x
  2. Step 2: Convert to fraction form
    6,784.35/9,363.77 = 4,636.63/x
  3. Step 3: Cross multiply
    6,784.35x = 9,363.77 × 4,636.63
  4. Step 4: Simplify right side
    6,784.35x = 43,416,336.90
  5. Step 5: Solve for x
    x = 43,416,336.90/6,784.35
  6. Step 6: Final answer
    x = 6,399.48

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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.