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Finding the Fourth Proportional to 9,821.12, 13,553.64 and 5,629.40

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Solution

The fourth proportional to 9,821.12, 13,553.64 and 5,629.40 is: 7,768.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.12 : 13,553.64 = 5,629.40 : x
  2. Step 2: Convert to fraction form
    9,821.12/13,553.64 = 5,629.40/x
  3. Step 3: Cross multiply
    9,821.12x = 13,553.64 × 5,629.40
  4. Step 4: Simplify right side
    9,821.12x = 76,298,861.02
  5. Step 5: Solve for x
    x = 76,298,861.02/9,821.12
  6. Step 6: Final answer
    x = 7,768.86

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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.