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Finding the Fourth Proportional to 9,609.60, 14,409.36 and 3,034.02

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Solution

The fourth proportional to 9,609.60, 14,409.36 and 3,034.02 is: 4,549.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.60 : 14,409.36 = 3,034.02 : x
  2. Step 2: Convert to fraction form
    9,609.60/14,409.36 = 3,034.02/x
  3. Step 3: Cross multiply
    9,609.60x = 14,409.36 × 3,034.02
  4. Step 4: Simplify right side
    9,609.60x = 43,718,286.43
  5. Step 5: Solve for x
    x = 43,718,286.43/9,609.60
  6. Step 6: Final answer
    x = 4,549.44

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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.