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Finding the Fourth Proportional to 9,259.71, 13,893.78 and 3,924.35

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Solution

The fourth proportional to 9,259.71, 13,893.78 and 3,924.35 is: 5,888.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.71 : 13,893.78 = 3,924.35 : x
  2. Step 2: Convert to fraction form
    9,259.71/13,893.78 = 3,924.35/x
  3. Step 3: Cross multiply
    9,259.71x = 13,893.78 × 3,924.35
  4. Step 4: Simplify right side
    9,259.71x = 54,524,065.21
  5. Step 5: Solve for x
    x = 54,524,065.21/9,259.71
  6. Step 6: Final answer
    x = 5,888.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.