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Finding the Fourth Proportional to 9,821.09, 13,553.06 and 5,344.76

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Solution

The fourth proportional to 9,821.09, 13,553.06 and 5,344.76 is: 7,375.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.09 : 13,553.06 = 5,344.76 : x
  2. Step 2: Convert to fraction form
    9,821.09/13,553.06 = 5,344.76/x
  3. Step 3: Cross multiply
    9,821.09x = 13,553.06 × 5,344.76
  4. Step 4: Simplify right side
    9,821.09x = 72,437,758.48
  5. Step 5: Solve for x
    x = 72,437,758.48/9,821.09
  6. Step 6: Final answer
    x = 7,375.74

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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.