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Finding the Fourth Proportional to 9,804.21, 13,538.78 and 6,273.62

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Solution

The fourth proportional to 9,804.21, 13,538.78 and 6,273.62 is: 8,663.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.21 : 13,538.78 = 6,273.62 : x
  2. Step 2: Convert to fraction form
    9,804.21/13,538.78 = 6,273.62/x
  3. Step 3: Cross multiply
    9,804.21x = 13,538.78 × 6,273.62
  4. Step 4: Simplify right side
    9,804.21x = 84,937,061.92
  5. Step 5: Solve for x
    x = 84,937,061.92/9,804.21
  6. Step 6: Final answer
    x = 8,663.33

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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.