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Finding the Fourth Proportional to 10,321.96, 14,236.02 and 6,783.88

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Solution

The fourth proportional to 10,321.96, 14,236.02 and 6,783.88 is: 9,356.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.96 : 14,236.02 = 6,783.88 : x
  2. Step 2: Convert to fraction form
    10,321.96/14,236.02 = 6,783.88/x
  3. Step 3: Cross multiply
    10,321.96x = 14,236.02 × 6,783.88
  4. Step 4: Simplify right side
    10,321.96x = 96,575,451.36
  5. Step 5: Solve for x
    x = 96,575,451.36/10,321.96
  6. Step 6: Final answer
    x = 9,356.31

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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.