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Finding the Fourth Proportional to 6,042.24, 9,045.54 and 5,893.20

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Solution

The fourth proportional to 6,042.24, 9,045.54 and 5,893.20 is: 8,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,042.24 : 9,045.54 = 5,893.20 : x
  2. Step 2: Convert to fraction form
    6,042.24/9,045.54 = 5,893.20/x
  3. Step 3: Cross multiply
    6,042.24x = 9,045.54 × 5,893.20
  4. Step 4: Simplify right side
    6,042.24x = 53,307,176.33
  5. Step 5: Solve for x
    x = 53,307,176.33/6,042.24
  6. Step 6: Final answer
    x = 8,822.42

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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.