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Finding the Fourth Proportional to 9,321.13, 13,971.56 and 4,644.60

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Solution

The fourth proportional to 9,321.13, 13,971.56 and 4,644.60 is: 6,961.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.13 : 13,971.56 = 4,644.60 : x
  2. Step 2: Convert to fraction form
    9,321.13/13,971.56 = 4,644.60/x
  3. Step 3: Cross multiply
    9,321.13x = 13,971.56 × 4,644.60
  4. Step 4: Simplify right side
    9,321.13x = 64,892,231.96
  5. Step 5: Solve for x
    x = 64,892,231.96/9,321.13
  6. Step 6: Final answer
    x = 6,961.84

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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.