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Finding the Fourth Proportional to 6,021.76, 9,024.94 and 5,238.52

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Solution

The fourth proportional to 6,021.76, 9,024.94 and 5,238.52 is: 7,851.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,021.76 : 9,024.94 = 5,238.52 : x
  2. Step 2: Convert to fraction form
    6,021.76/9,024.94 = 5,238.52/x
  3. Step 3: Cross multiply
    6,021.76x = 9,024.94 × 5,238.52
  4. Step 4: Simplify right side
    6,021.76x = 47,277,328.69
  5. Step 5: Solve for x
    x = 47,277,328.69/6,021.76
  6. Step 6: Final answer
    x = 7,851.08

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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.