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Finding the Fourth Proportional to 9,525.58, 13,142.01 and 5,989.06

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Solution

The fourth proportional to 9,525.58, 13,142.01 and 5,989.06 is: 8,262.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.58 : 13,142.01 = 5,989.06 : x
  2. Step 2: Convert to fraction form
    9,525.58/13,142.01 = 5,989.06/x
  3. Step 3: Cross multiply
    9,525.58x = 13,142.01 × 5,989.06
  4. Step 4: Simplify right side
    9,525.58x = 78,708,286.41
  5. Step 5: Solve for x
    x = 78,708,286.41/9,525.58
  6. Step 6: Final answer
    x = 8,262.83

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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.