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Finding the Fourth Proportional to 9,837.66, 14,743.94 and 6,326.31

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Solution

The fourth proportional to 9,837.66, 14,743.94 and 6,326.31 is: 9,481.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.66 : 14,743.94 = 6,326.31 : x
  2. Step 2: Convert to fraction form
    9,837.66/14,743.94 = 6,326.31/x
  3. Step 3: Cross multiply
    9,837.66x = 14,743.94 × 6,326.31
  4. Step 4: Simplify right side
    9,837.66x = 93,274,703.43
  5. Step 5: Solve for x
    x = 93,274,703.43/9,837.66
  6. Step 6: Final answer
    x = 9,481.39

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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.