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Finding the Fourth Proportional to 9,563.80, 14,345.70 and 2,638.30

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Solution

The fourth proportional to 9,563.80, 14,345.70 and 2,638.30 is: 3,957.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.80 : 14,345.70 = 2,638.30 : x
  2. Step 2: Convert to fraction form
    9,563.80/14,345.70 = 2,638.30/x
  3. Step 3: Cross multiply
    9,563.80x = 14,345.70 × 2,638.30
  4. Step 4: Simplify right side
    9,563.80x = 37,848,260.31
  5. Step 5: Solve for x
    x = 37,848,260.31/9,563.80
  6. Step 6: Final answer
    x = 3,957.45

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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.