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Finding the Fourth Proportional to 9,748.16, 14,622.22 and 3,174.33

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Solution

The fourth proportional to 9,748.16, 14,622.22 and 3,174.33 is: 4,761.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.16 : 14,622.22 = 3,174.33 : x
  2. Step 2: Convert to fraction form
    9,748.16/14,622.22 = 3,174.33/x
  3. Step 3: Cross multiply
    9,748.16x = 14,622.22 × 3,174.33
  4. Step 4: Simplify right side
    9,748.16x = 46,415,735.74
  5. Step 5: Solve for x
    x = 46,415,735.74/9,748.16
  6. Step 6: Final answer
    x = 4,761.49

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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.