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Finding the Fourth Proportional to 9,538.20, 14,266.80 and 8,558.10

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Solution

The fourth proportional to 9,538.20, 14,266.80 and 8,558.10 is: 12,800.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.20 : 14,266.80 = 8,558.10 : x
  2. Step 2: Convert to fraction form
    9,538.20/14,266.80 = 8,558.10/x
  3. Step 3: Cross multiply
    9,538.20x = 14,266.80 × 8,558.10
  4. Step 4: Simplify right side
    9,538.20x = 122,096,701.08
  5. Step 5: Solve for x
    x = 122,096,701.08/9,538.20
  6. Step 6: Final answer
    x = 12,800.81

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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.