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Finding the Fourth Proportional to 9,638.64, 14,434.80 and 8,244

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Solution

The fourth proportional to 9,638.64, 14,434.80 and 8,244 is: 12,346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.64 : 14,434.80 = 8,244 : x
  2. Step 2: Convert to fraction form
    9,638.64/14,434.80 = 8,244/x
  3. Step 3: Cross multiply
    9,638.64x = 14,434.80 × 8,244
  4. Step 4: Simplify right side
    9,638.64x = 119,000,491.20
  5. Step 5: Solve for x
    x = 119,000,491.20/9,638.64
  6. Step 6: Final answer
    x = 12,346.19

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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.