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Finding the Fourth Proportional to 9,744.30, 14,623.65 and 3,905.10

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Solution

The fourth proportional to 9,744.30, 14,623.65 and 3,905.10 is: 5,860.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.30 : 14,623.65 = 3,905.10 : x
  2. Step 2: Convert to fraction form
    9,744.30/14,623.65 = 3,905.10/x
  3. Step 3: Cross multiply
    9,744.30x = 14,623.65 × 3,905.10
  4. Step 4: Simplify right side
    9,744.30x = 57,106,815.62
  5. Step 5: Solve for x
    x = 57,106,815.62/9,744.30
  6. Step 6: Final answer
    x = 5,860.54

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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.