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Finding the Fourth Proportional to 9,733.46, 13,435.34 and 7,214.76

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Solution

The fourth proportional to 9,733.46, 13,435.34 and 7,214.76 is: 9,958.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,733.46 : 13,435.34 = 7,214.76 : x
  2. Step 2: Convert to fraction form
    9,733.46/13,435.34 = 7,214.76/x
  3. Step 3: Cross multiply
    9,733.46x = 13,435.34 × 7,214.76
  4. Step 4: Simplify right side
    9,733.46x = 96,932,753.62
  5. Step 5: Solve for x
    x = 96,932,753.62/9,733.46
  6. Step 6: Final answer
    x = 9,958.71

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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.