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Finding the Fourth Proportional to 6,425.70, 9,638.55 and 2,043.60

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Solution

The fourth proportional to 6,425.70, 9,638.55 and 2,043.60 is: 3,065.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.70 : 9,638.55 = 2,043.60 : x
  2. Step 2: Convert to fraction form
    6,425.70/9,638.55 = 2,043.60/x
  3. Step 3: Cross multiply
    6,425.70x = 9,638.55 × 2,043.60
  4. Step 4: Simplify right side
    6,425.70x = 19,697,340.78
  5. Step 5: Solve for x
    x = 19,697,340.78/6,425.70
  6. Step 6: Final answer
    x = 3,065.40

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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.