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Finding the Fourth Proportional to 6,173.34, 9,238.47 and 5,049.77

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Solution

The fourth proportional to 6,173.34, 9,238.47 and 5,049.77 is: 7,557.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.34 : 9,238.47 = 5,049.77 : x
  2. Step 2: Convert to fraction form
    6,173.34/9,238.47 = 5,049.77/x
  3. Step 3: Cross multiply
    6,173.34x = 9,238.47 × 5,049.77
  4. Step 4: Simplify right side
    6,173.34x = 46,652,102.46
  5. Step 5: Solve for x
    x = 46,652,102.46/6,173.34
  6. Step 6: Final answer
    x = 7,557.03

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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.