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Finding the Fourth Proportional to 9,638.40, 14,461.20 and 3,799.08

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Solution

The fourth proportional to 9,638.40, 14,461.20 and 3,799.08 is: 5,700.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.40 : 14,461.20 = 3,799.08 : x
  2. Step 2: Convert to fraction form
    9,638.40/14,461.20 = 3,799.08/x
  3. Step 3: Cross multiply
    9,638.40x = 14,461.20 × 3,799.08
  4. Step 4: Simplify right side
    9,638.40x = 54,939,255.70
  5. Step 5: Solve for x
    x = 54,939,255.70/9,638.40
  6. Step 6: Final answer
    x = 5,700.04

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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.