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Finding the Fourth Proportional to 10,410.96, 14,371.82 and 6,639.20

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Solution

The fourth proportional to 10,410.96, 14,371.82 and 6,639.20 is: 9,165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,410.96 : 14,371.82 = 6,639.20 : x
  2. Step 2: Convert to fraction form
    10,410.96/14,371.82 = 6,639.20/x
  3. Step 3: Cross multiply
    10,410.96x = 14,371.82 × 6,639.20
  4. Step 4: Simplify right side
    10,410.96x = 95,417,387.34
  5. Step 5: Solve for x
    x = 95,417,387.34/10,410.96
  6. Step 6: Final answer
    x = 9,165.09

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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.