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Finding the Fourth Proportional to 9,792.24, 14,676.21 and 7,153.26

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Solution

The fourth proportional to 9,792.24, 14,676.21 and 7,153.26 is: 10,721.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.24 : 14,676.21 = 7,153.26 : x
  2. Step 2: Convert to fraction form
    9,792.24/14,676.21 = 7,153.26/x
  3. Step 3: Cross multiply
    9,792.24x = 14,676.21 × 7,153.26
  4. Step 4: Simplify right side
    9,792.24x = 104,982,745.94
  5. Step 5: Solve for x
    x = 104,982,745.94/9,792.24
  6. Step 6: Final answer
    x = 10,721.01

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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.