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Finding the Fourth Proportional to 9,843.32, 13,583.80 and 5,367.08

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Solution

The fourth proportional to 9,843.32, 13,583.80 and 5,367.08 is: 7,406.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.32 : 13,583.80 = 5,367.08 : x
  2. Step 2: Convert to fraction form
    9,843.32/13,583.80 = 5,367.08/x
  3. Step 3: Cross multiply
    9,843.32x = 13,583.80 × 5,367.08
  4. Step 4: Simplify right side
    9,843.32x = 72,905,341.30
  5. Step 5: Solve for x
    x = 72,905,341.30/9,843.32
  6. Step 6: Final answer
    x = 7,406.58

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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.