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Finding the Fourth Proportional to 7,223.78, 9,969.28 and 4,238.52

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Solution

The fourth proportional to 7,223.78, 9,969.28 and 4,238.52 is: 5,849.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.78 : 9,969.28 = 4,238.52 : x
  2. Step 2: Convert to fraction form
    7,223.78/9,969.28 = 4,238.52/x
  3. Step 3: Cross multiply
    7,223.78x = 9,969.28 × 4,238.52
  4. Step 4: Simplify right side
    7,223.78x = 42,254,992.67
  5. Step 5: Solve for x
    x = 42,254,992.67/7,223.78
  6. Step 6: Final answer
    x = 5,849.43

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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.