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Finding the Fourth Proportional to 6,242.68, 9,377.56 and 3,778.64

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Solution

The fourth proportional to 6,242.68, 9,377.56 and 3,778.64 is: 5,676.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.68 : 9,377.56 = 3,778.64 : x
  2. Step 2: Convert to fraction form
    6,242.68/9,377.56 = 3,778.64/x
  3. Step 3: Cross multiply
    6,242.68x = 9,377.56 × 3,778.64
  4. Step 4: Simplify right side
    6,242.68x = 35,434,423.32
  5. Step 5: Solve for x
    x = 35,434,423.32/6,242.68
  6. Step 6: Final answer
    x = 5,676.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.