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Finding the Fourth Proportional to 9,228.30, 12,733.86 and 5,194.61

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Solution

The fourth proportional to 9,228.30, 12,733.86 and 5,194.61 is: 7,167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.30 : 12,733.86 = 5,194.61 : x
  2. Step 2: Convert to fraction form
    9,228.30/12,733.86 = 5,194.61/x
  3. Step 3: Cross multiply
    9,228.30x = 12,733.86 × 5,194.61
  4. Step 4: Simplify right side
    9,228.30x = 66,147,482.47
  5. Step 5: Solve for x
    x = 66,147,482.47/9,228.30
  6. Step 6: Final answer
    x = 7,167.90

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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.