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Finding the Fourth Proportional to 9,674.34, 14,513.94 and 3,101.19

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Solution

The fourth proportional to 9,674.34, 14,513.94 and 3,101.19 is: 4,652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.34 : 14,513.94 = 3,101.19 : x
  2. Step 2: Convert to fraction form
    9,674.34/14,513.94 = 3,101.19/x
  3. Step 3: Cross multiply
    9,674.34x = 14,513.94 × 3,101.19
  4. Step 4: Simplify right side
    9,674.34x = 45,010,485.59
  5. Step 5: Solve for x
    x = 45,010,485.59/9,674.34
  6. Step 6: Final answer
    x = 4,652.56

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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.