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Finding the Fourth Proportional to 6,355.64, 8,769.66 and 3,837.08

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Solution

The fourth proportional to 6,355.64, 8,769.66 and 3,837.08 is: 5,294.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.64 : 8,769.66 = 3,837.08 : x
  2. Step 2: Convert to fraction form
    6,355.64/8,769.66 = 3,837.08/x
  3. Step 3: Cross multiply
    6,355.64x = 8,769.66 × 3,837.08
  4. Step 4: Simplify right side
    6,355.64x = 33,649,886.99
  5. Step 5: Solve for x
    x = 33,649,886.99/6,355.64
  6. Step 6: Final answer
    x = 5,294.49

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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.