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Finding the Fourth Proportional to 9,744.66, 14,618.29 and 3,168.63

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Solution

The fourth proportional to 9,744.66, 14,618.29 and 3,168.63 is: 4,753.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.66 : 14,618.29 = 3,168.63 : x
  2. Step 2: Convert to fraction form
    9,744.66/14,618.29 = 3,168.63/x
  3. Step 3: Cross multiply
    9,744.66x = 14,618.29 × 3,168.63
  4. Step 4: Simplify right side
    9,744.66x = 46,319,952.24
  5. Step 5: Solve for x
    x = 46,319,952.24/9,744.66
  6. Step 6: Final answer
    x = 4,753.37

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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.