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Finding the Fourth Proportional to 9,305.28, 12,846.60 and 6,165.72

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Solution

The fourth proportional to 9,305.28, 12,846.60 and 6,165.72 is: 8,512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.28 : 12,846.60 = 6,165.72 : x
  2. Step 2: Convert to fraction form
    9,305.28/12,846.60 = 6,165.72/x
  3. Step 3: Cross multiply
    9,305.28x = 12,846.60 × 6,165.72
  4. Step 4: Simplify right side
    9,305.28x = 79,208,538.55
  5. Step 5: Solve for x
    x = 79,208,538.55/9,305.28
  6. Step 6: Final answer
    x = 8,512.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.