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Finding the Fourth Proportional to 9,843.20, 13,583.30 and 5,366.88

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Solution

The fourth proportional to 9,843.20, 13,583.30 and 5,366.88 is: 7,406.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.20 : 13,583.30 = 5,366.88 : x
  2. Step 2: Convert to fraction form
    9,843.20/13,583.30 = 5,366.88/x
  3. Step 3: Cross multiply
    9,843.20x = 13,583.30 × 5,366.88
  4. Step 4: Simplify right side
    9,843.20x = 72,899,941.10
  5. Step 5: Solve for x
    x = 72,899,941.10/9,843.20
  6. Step 6: Final answer
    x = 7,406.12

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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.