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Finding the Fourth Proportional to 9,024.96, 12,455.12 and 6,042

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Solution

The fourth proportional to 9,024.96, 12,455.12 and 6,042 is: 8,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.96 : 12,455.12 = 6,042 : x
  2. Step 2: Convert to fraction form
    9,024.96/12,455.12 = 6,042/x
  3. Step 3: Cross multiply
    9,024.96x = 12,455.12 × 6,042
  4. Step 4: Simplify right side
    9,024.96x = 75,253,835.04
  5. Step 5: Solve for x
    x = 75,253,835.04/9,024.96
  6. Step 6: Final answer
    x = 8,338.41

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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.