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Finding the Fourth Proportional to 12,288.96, 16,958.70 and 6,983.46

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Solution

The fourth proportional to 12,288.96, 16,958.70 and 6,983.46 is: 9,637.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.96 : 16,958.70 = 6,983.46 : x
  2. Step 2: Convert to fraction form
    12,288.96/16,958.70 = 6,983.46/x
  3. Step 3: Cross multiply
    12,288.96x = 16,958.70 × 6,983.46
  4. Step 4: Simplify right side
    12,288.96x = 118,430,403.10
  5. Step 5: Solve for x
    x = 118,430,403.10/12,288.96
  6. Step 6: Final answer
    x = 9,637.14

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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.