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Finding the Fourth Proportional to 9,674.53, 14,513.96 and 3,101.11

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Solution

The fourth proportional to 9,674.53, 14,513.96 and 3,101.11 is: 4,652.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.53 : 14,513.96 = 3,101.11 : x
  2. Step 2: Convert to fraction form
    9,674.53/14,513.96 = 3,101.11/x
  3. Step 3: Cross multiply
    9,674.53x = 14,513.96 × 3,101.11
  4. Step 4: Simplify right side
    9,674.53x = 45,009,357.96
  5. Step 5: Solve for x
    x = 45,009,357.96/9,674.53
  6. Step 6: Final answer
    x = 4,652.36

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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.