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Finding the Fourth Proportional to 10,455.84, 14,429.76 and 6,912.96

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Solution

The fourth proportional to 10,455.84, 14,429.76 and 6,912.96 is: 9,540.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.84 : 14,429.76 = 6,912.96 : x
  2. Step 2: Convert to fraction form
    10,455.84/14,429.76 = 6,912.96/x
  3. Step 3: Cross multiply
    10,455.84x = 14,429.76 × 6,912.96
  4. Step 4: Simplify right side
    10,455.84x = 99,752,353.69
  5. Step 5: Solve for x
    x = 99,752,353.69/10,455.84
  6. Step 6: Final answer
    x = 9,540.35

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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.