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Finding the Fourth Proportional to 9,129.60, 13,680.96 and 6,819.84

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Solution

The fourth proportional to 9,129.60, 13,680.96 and 6,819.84 is: 10,219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.60 : 13,680.96 = 6,819.84 : x
  2. Step 2: Convert to fraction form
    9,129.60/13,680.96 = 6,819.84/x
  3. Step 3: Cross multiply
    9,129.60x = 13,680.96 × 6,819.84
  4. Step 4: Simplify right side
    9,129.60x = 93,301,958.25
  5. Step 5: Solve for x
    x = 93,301,958.25/9,129.60
  6. Step 6: Final answer
    x = 10,219.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.