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Finding the Fourth Proportional to 6,458.46, 9,696.36 and 3,830.82

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Solution

The fourth proportional to 6,458.46, 9,696.36 and 3,830.82 is: 5,751.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.46 : 9,696.36 = 3,830.82 : x
  2. Step 2: Convert to fraction form
    6,458.46/9,696.36 = 3,830.82/x
  3. Step 3: Cross multiply
    6,458.46x = 9,696.36 × 3,830.82
  4. Step 4: Simplify right side
    6,458.46x = 37,145,009.82
  5. Step 5: Solve for x
    x = 37,145,009.82/6,458.46
  6. Step 6: Final answer
    x = 5,751.37

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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.