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Finding the Fourth Proportional to 9,321.60, 13,958.10 and 6,016.80

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Solution

The fourth proportional to 9,321.60, 13,958.10 and 6,016.80 is: 9,009.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.60 : 13,958.10 = 6,016.80 : x
  2. Step 2: Convert to fraction form
    9,321.60/13,958.10 = 6,016.80/x
  3. Step 3: Cross multiply
    9,321.60x = 13,958.10 × 6,016.80
  4. Step 4: Simplify right side
    9,321.60x = 83,983,096.08
  5. Step 5: Solve for x
    x = 83,983,096.08/9,321.60
  6. Step 6: Final answer
    x = 9,009.52

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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.