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Finding the Fourth Proportional to 9,682.58, 14,487.20 and 5,735.96

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Solution

The fourth proportional to 9,682.58, 14,487.20 and 5,735.96 is: 8,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.58 : 14,487.20 = 5,735.96 : x
  2. Step 2: Convert to fraction form
    9,682.58/14,487.20 = 5,735.96/x
  3. Step 3: Cross multiply
    9,682.58x = 14,487.20 × 5,735.96
  4. Step 4: Simplify right side
    9,682.58x = 83,097,971.03
  5. Step 5: Solve for x
    x = 83,097,971.03/9,682.58
  6. Step 6: Final answer
    x = 8,582.21

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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.