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Finding the Fourth Proportional to 9,489.10, 14,232.05 and 2,913.50

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Solution

The fourth proportional to 9,489.10, 14,232.05 and 2,913.50 is: 4,369.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.10 : 14,232.05 = 2,913.50 : x
  2. Step 2: Convert to fraction form
    9,489.10/14,232.05 = 2,913.50/x
  3. Step 3: Cross multiply
    9,489.10x = 14,232.05 × 2,913.50
  4. Step 4: Simplify right side
    9,489.10x = 41,465,077.68
  5. Step 5: Solve for x
    x = 41,465,077.68/9,489.10
  6. Step 6: Final answer
    x = 4,369.76

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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.