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Finding the Fourth Proportional to 6,174.66, 9,228.00 and 4,512.24

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Solution

The fourth proportional to 6,174.66, 9,228.00 and 4,512.24 is: 6,743.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.66 : 9,228.00 = 4,512.24 : x
  2. Step 2: Convert to fraction form
    6,174.66/9,228.00 = 4,512.24/x
  3. Step 3: Cross multiply
    6,174.66x = 9,228.00 × 4,512.24
  4. Step 4: Simplify right side
    6,174.66x = 41,638,928.16
  5. Step 5: Solve for x
    x = 41,638,928.16/6,174.66
  6. Step 6: Final answer
    x = 6,743.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.