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Finding the Fourth Proportional to 9,232.12, 12,733.86 and 6,246.64

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Solution

The fourth proportional to 9,232.12, 12,733.86 and 6,246.64 is: 8,615.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.12 : 12,733.86 = 6,246.64 : x
  2. Step 2: Convert to fraction form
    9,232.12/12,733.86 = 6,246.64/x
  3. Step 3: Cross multiply
    9,232.12x = 12,733.86 × 6,246.64
  4. Step 4: Simplify right side
    9,232.12x = 79,543,839.23
  5. Step 5: Solve for x
    x = 79,543,839.23/9,232.12
  6. Step 6: Final answer
    x = 8,615.99

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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.