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Finding the Fourth Proportional to 9,744.64, 14,616.93 and 3,504.65

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Solution

The fourth proportional to 9,744.64, 14,616.93 and 3,504.65 is: 5,256.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.64 : 14,616.93 = 3,504.65 : x
  2. Step 2: Convert to fraction form
    9,744.64/14,616.93 = 3,504.65/x
  3. Step 3: Cross multiply
    9,744.64x = 14,616.93 × 3,504.65
  4. Step 4: Simplify right side
    9,744.64x = 51,227,181.72
  5. Step 5: Solve for x
    x = 51,227,181.72/9,744.64
  6. Step 6: Final answer
    x = 5,256.96

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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.