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Finding the Fourth Proportional to 6,821.55, 9,412.98 and 3,837.32

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Solution

The fourth proportional to 6,821.55, 9,412.98 and 3,837.32 is: 5,295.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.55 : 9,412.98 = 3,837.32 : x
  2. Step 2: Convert to fraction form
    6,821.55/9,412.98 = 3,837.32/x
  3. Step 3: Cross multiply
    6,821.55x = 9,412.98 × 3,837.32
  4. Step 4: Simplify right side
    6,821.55x = 36,120,590.26
  5. Step 5: Solve for x
    x = 36,120,590.26/6,821.55
  6. Step 6: Final answer
    x = 5,295.07

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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.