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Finding the Fourth Proportional to 9,843.51, 13,584.06 and 5,367.29

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Solution

The fourth proportional to 9,843.51, 13,584.06 and 5,367.29 is: 7,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.51 : 13,584.06 = 5,367.29 : x
  2. Step 2: Convert to fraction form
    9,843.51/13,584.06 = 5,367.29/x
  3. Step 3: Cross multiply
    9,843.51x = 13,584.06 × 5,367.29
  4. Step 4: Simplify right side
    9,843.51x = 72,909,521.48
  5. Step 5: Solve for x
    x = 72,909,521.48/9,843.51
  6. Step 6: Final answer
    x = 7,406.86

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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.