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Finding the Fourth Proportional to 10,455.94, 14,431.96 and 6,474.79

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Solution

The fourth proportional to 10,455.94, 14,431.96 and 6,474.79 is: 8,936.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.94 : 14,431.96 = 6,474.79 : x
  2. Step 2: Convert to fraction form
    10,455.94/14,431.96 = 6,474.79/x
  3. Step 3: Cross multiply
    10,455.94x = 14,431.96 × 6,474.79
  4. Step 4: Simplify right side
    10,455.94x = 93,443,910.29
  5. Step 5: Solve for x
    x = 93,443,910.29/10,455.94
  6. Step 6: Final answer
    x = 8,936.92

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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.