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Finding the Fourth Proportional to 9,538.75, 14,303.27 and 3,990.59

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Solution

The fourth proportional to 9,538.75, 14,303.27 and 3,990.59 is: 5,983.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.75 : 14,303.27 = 3,990.59 : x
  2. Step 2: Convert to fraction form
    9,538.75/14,303.27 = 3,990.59/x
  3. Step 3: Cross multiply
    9,538.75x = 14,303.27 × 3,990.59
  4. Step 4: Simplify right side
    9,538.75x = 57,078,466.28
  5. Step 5: Solve for x
    x = 57,078,466.28/9,538.75
  6. Step 6: Final answer
    x = 5,983.85

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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.