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Finding the Fourth Proportional to 9,520.34, 14,302.41 and 6,753.86

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Solution

The fourth proportional to 9,520.34, 14,302.41 and 6,753.86 is: 10,146.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.34 : 14,302.41 = 6,753.86 : x
  2. Step 2: Convert to fraction form
    9,520.34/14,302.41 = 6,753.86/x
  3. Step 3: Cross multiply
    9,520.34x = 14,302.41 × 6,753.86
  4. Step 4: Simplify right side
    9,520.34x = 96,596,474.80
  5. Step 5: Solve for x
    x = 96,596,474.80/9,520.34
  6. Step 6: Final answer
    x = 10,146.33

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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.