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Finding the Fourth Proportional to 9,684.56, 14,529.72 and 4,494.80

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Solution

The fourth proportional to 9,684.56, 14,529.72 and 4,494.80 is: 6,743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.56 : 14,529.72 = 4,494.80 : x
  2. Step 2: Convert to fraction form
    9,684.56/14,529.72 = 4,494.80/x
  3. Step 3: Cross multiply
    9,684.56x = 14,529.72 × 4,494.80
  4. Step 4: Simplify right side
    9,684.56x = 65,308,185.46
  5. Step 5: Solve for x
    x = 65,308,185.46/9,684.56
  6. Step 6: Final answer
    x = 6,743.54

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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.