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Finding the Fourth Proportional to 10,383.75, 14,336.06 and 6,664.23

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Solution

The fourth proportional to 10,383.75, 14,336.06 and 6,664.23 is: 9,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.75 : 14,336.06 = 6,664.23 : x
  2. Step 2: Convert to fraction form
    10,383.75/14,336.06 = 6,664.23/x
  3. Step 3: Cross multiply
    10,383.75x = 14,336.06 × 6,664.23
  4. Step 4: Simplify right side
    10,383.75x = 95,538,767.81
  5. Step 5: Solve for x
    x = 95,538,767.81/10,383.75
  6. Step 6: Final answer
    x = 9,200.80

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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.