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Finding the Fourth Proportional to 6,197.37, 9,293.01 and 4,324.16

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Solution

The fourth proportional to 6,197.37, 9,293.01 and 4,324.16 is: 6,484.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.37 : 9,293.01 = 4,324.16 : x
  2. Step 2: Convert to fraction form
    6,197.37/9,293.01 = 4,324.16/x
  3. Step 3: Cross multiply
    6,197.37x = 9,293.01 × 4,324.16
  4. Step 4: Simplify right side
    6,197.37x = 40,184,415.66
  5. Step 5: Solve for x
    x = 40,184,415.66/6,197.37
  6. Step 6: Final answer
    x = 6,484.11

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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.