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Finding the Fourth Proportional to 6,256.56, 9,381.40 and 2,094.38

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Solution

The fourth proportional to 6,256.56, 9,381.40 and 2,094.38 is: 3,140.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,256.56 : 9,381.40 = 2,094.38 : x
  2. Step 2: Convert to fraction form
    6,256.56/9,381.40 = 2,094.38/x
  3. Step 3: Cross multiply
    6,256.56x = 9,381.40 × 2,094.38
  4. Step 4: Simplify right side
    6,256.56x = 19,648,164.39
  5. Step 5: Solve for x
    x = 19,648,164.39/6,256.56
  6. Step 6: Final answer
    x = 3,140.41

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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.