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Finding the Fourth Proportional to 9,419.78, 12,999.35 and 5,885.04

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Solution

The fourth proportional to 9,419.78, 12,999.35 and 5,885.04 is: 8,121.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.78 : 12,999.35 = 5,885.04 : x
  2. Step 2: Convert to fraction form
    9,419.78/12,999.35 = 5,885.04/x
  3. Step 3: Cross multiply
    9,419.78x = 12,999.35 × 5,885.04
  4. Step 4: Simplify right side
    9,419.78x = 76,501,694.72
  5. Step 5: Solve for x
    x = 76,501,694.72/9,419.78
  6. Step 6: Final answer
    x = 8,121.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.