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Finding the Fourth Proportional to 9,843.16, 13,583.10 and 5,594.12

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Solution

The fourth proportional to 9,843.16, 13,583.10 and 5,594.12 is: 7,719.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.16 : 13,583.10 = 5,594.12 : x
  2. Step 2: Convert to fraction form
    9,843.16/13,583.10 = 5,594.12/x
  3. Step 3: Cross multiply
    9,843.16x = 13,583.10 × 5,594.12
  4. Step 4: Simplify right side
    9,843.16x = 75,985,395.49
  5. Step 5: Solve for x
    x = 75,985,395.49/9,843.16
  6. Step 6: Final answer
    x = 7,719.61

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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.