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Finding the Fourth Proportional to 6,935.34, 9,575.34 and 4,286.64

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Solution

The fourth proportional to 6,935.34, 9,575.34 and 4,286.64 is: 5,918.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.34 : 9,575.34 = 4,286.64 : x
  2. Step 2: Convert to fraction form
    6,935.34/9,575.34 = 4,286.64/x
  3. Step 3: Cross multiply
    6,935.34x = 9,575.34 × 4,286.64
  4. Step 4: Simplify right side
    6,935.34x = 41,046,035.46
  5. Step 5: Solve for x
    x = 41,046,035.46/6,935.34
  6. Step 6: Final answer
    x = 5,918.39

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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.