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Finding the Fourth Proportional to 9,224.90, 13,846.76 and 6,752.37

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Solution

The fourth proportional to 9,224.90, 13,846.76 and 6,752.37 is: 10,135.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.90 : 13,846.76 = 6,752.37 : x
  2. Step 2: Convert to fraction form
    9,224.90/13,846.76 = 6,752.37/x
  3. Step 3: Cross multiply
    9,224.90x = 13,846.76 × 6,752.37
  4. Step 4: Simplify right side
    9,224.90x = 93,498,438.38
  5. Step 5: Solve for x
    x = 93,498,438.38/9,224.90
  6. Step 6: Final answer
    x = 10,135.45

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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.