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Finding the Fourth Proportional to 9,566.96, 14,340.18 and 4,629.80

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Solution

The fourth proportional to 9,566.96, 14,340.18 and 4,629.80 is: 6,939.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.96 : 14,340.18 = 4,629.80 : x
  2. Step 2: Convert to fraction form
    9,566.96/14,340.18 = 4,629.80/x
  3. Step 3: Cross multiply
    9,566.96x = 14,340.18 × 4,629.80
  4. Step 4: Simplify right side
    9,566.96x = 66,392,165.36
  5. Step 5: Solve for x
    x = 66,392,165.36/9,566.96
  6. Step 6: Final answer
    x = 6,939.73

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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.