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Finding the Fourth Proportional to 6,133.24, 9,203.19 and 4,749.29

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Solution

The fourth proportional to 6,133.24, 9,203.19 and 4,749.29 is: 7,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.24 : 9,203.19 = 4,749.29 : x
  2. Step 2: Convert to fraction form
    6,133.24/9,203.19 = 4,749.29/x
  3. Step 3: Cross multiply
    6,133.24x = 9,203.19 × 4,749.29
  4. Step 4: Simplify right side
    6,133.24x = 43,708,548.47
  5. Step 5: Solve for x
    x = 43,708,548.47/6,133.24
  6. Step 6: Final answer
    x = 7,126.51

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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.