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Finding the Fourth Proportional to 10,446.42, 14,414.28 and 6,908.34

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Solution

The fourth proportional to 10,446.42, 14,414.28 and 6,908.34 is: 9,532.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.42 : 14,414.28 = 6,908.34 : x
  2. Step 2: Convert to fraction form
    10,446.42/14,414.28 = 6,908.34/x
  3. Step 3: Cross multiply
    10,446.42x = 14,414.28 × 6,908.34
  4. Step 4: Simplify right side
    10,446.42x = 99,578,747.10
  5. Step 5: Solve for x
    x = 99,578,747.10/10,446.42
  6. Step 6: Final answer
    x = 9,532.33

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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.