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Finding the Fourth Proportional to 9,419.72, 12,999.32 and 5,884.98

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Solution

The fourth proportional to 9,419.72, 12,999.32 and 5,884.98 is: 8,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.72 : 12,999.32 = 5,884.98 : x
  2. Step 2: Convert to fraction form
    9,419.72/12,999.32 = 5,884.98/x
  3. Step 3: Cross multiply
    9,419.72x = 12,999.32 × 5,884.98
  4. Step 4: Simplify right side
    9,419.72x = 76,500,708.79
  5. Step 5: Solve for x
    x = 76,500,708.79/9,419.72
  6. Step 6: Final answer
    x = 8,121.34

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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.