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Finding the Fourth Proportional to 9,783.68, 14,675.67 and 2,388.26

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Solution

The fourth proportional to 9,783.68, 14,675.67 and 2,388.26 is: 3,582.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.68 : 14,675.67 = 2,388.26 : x
  2. Step 2: Convert to fraction form
    9,783.68/14,675.67 = 2,388.26/x
  3. Step 3: Cross multiply
    9,783.68x = 14,675.67 × 2,388.26
  4. Step 4: Simplify right side
    9,783.68x = 35,049,352.32
  5. Step 5: Solve for x
    x = 35,049,352.32/9,783.68
  6. Step 6: Final answer
    x = 3,582.43

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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.