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Finding the Fourth Proportional to 9,821.57, 13,538.03 and 6,633.87

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Solution

The fourth proportional to 9,821.57, 13,538.03 and 6,633.87 is: 9,144.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.57 : 13,538.03 = 6,633.87 : x
  2. Step 2: Convert to fraction form
    9,821.57/13,538.03 = 6,633.87/x
  3. Step 3: Cross multiply
    9,821.57x = 13,538.03 × 6,633.87
  4. Step 4: Simplify right side
    9,821.57x = 89,809,463.39
  5. Step 5: Solve for x
    x = 89,809,463.39/9,821.57
  6. Step 6: Final answer
    x = 9,144.10

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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.