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Finding the Fourth Proportional to 10,327.35, 14,229.63 and 9,478.11

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Solution

The fourth proportional to 10,327.35, 14,229.63 and 9,478.11 is: 13,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,327.35 : 14,229.63 = 9,478.11 : x
  2. Step 2: Convert to fraction form
    10,327.35/14,229.63 = 9,478.11/x
  3. Step 3: Cross multiply
    10,327.35x = 14,229.63 × 9,478.11
  4. Step 4: Simplify right side
    10,327.35x = 134,869,998.40
  5. Step 5: Solve for x
    x = 134,869,998.40/10,327.35
  6. Step 6: Final answer
    x = 13,059.50

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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.