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Finding the Fourth Proportional to 6,318.96, 9,466.92 and 6,180.72

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Solution

The fourth proportional to 6,318.96, 9,466.92 and 6,180.72 is: 9,259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.96 : 9,466.92 = 6,180.72 : x
  2. Step 2: Convert to fraction form
    6,318.96/9,466.92 = 6,180.72/x
  3. Step 3: Cross multiply
    6,318.96x = 9,466.92 × 6,180.72
  4. Step 4: Simplify right side
    6,318.96x = 58,512,381.78
  5. Step 5: Solve for x
    x = 58,512,381.78/6,318.96
  6. Step 6: Final answer
    x = 9,259.81

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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.