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Finding the Fourth Proportional to 6,984.35, 9,636.27 and 4,593.64

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Solution

The fourth proportional to 6,984.35, 9,636.27 and 4,593.64 is: 6,337.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,984.35 : 9,636.27 = 4,593.64 : x
  2. Step 2: Convert to fraction form
    6,984.35/9,636.27 = 4,593.64/x
  3. Step 3: Cross multiply
    6,984.35x = 9,636.27 × 4,593.64
  4. Step 4: Simplify right side
    6,984.35x = 44,265,555.32
  5. Step 5: Solve for x
    x = 44,265,555.32/6,984.35
  6. Step 6: Final answer
    x = 6,337.82

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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.