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Finding the Fourth Proportional to 6,955.42, 10,428.74 and 3,837.60

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Solution

The fourth proportional to 6,955.42, 10,428.74 and 3,837.60 is: 5,753.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,955.42 : 10,428.74 = 3,837.60 : x
  2. Step 2: Convert to fraction form
    6,955.42/10,428.74 = 3,837.60/x
  3. Step 3: Cross multiply
    6,955.42x = 10,428.74 × 3,837.60
  4. Step 4: Simplify right side
    6,955.42x = 40,021,342.22
  5. Step 5: Solve for x
    x = 40,021,342.22/6,955.42
  6. Step 6: Final answer
    x = 5,753.98

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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.