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Finding the Fourth Proportional to 6,323.82, 9,486.74 and 2,375.38

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Solution

The fourth proportional to 6,323.82, 9,486.74 and 2,375.38 is: 3,563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.82 : 9,486.74 = 2,375.38 : x
  2. Step 2: Convert to fraction form
    6,323.82/9,486.74 = 2,375.38/x
  3. Step 3: Cross multiply
    6,323.82x = 9,486.74 × 2,375.38
  4. Step 4: Simplify right side
    6,323.82x = 22,534,612.46
  5. Step 5: Solve for x
    x = 22,534,612.46/6,323.82
  6. Step 6: Final answer
    x = 3,563.45

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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.