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Finding the Fourth Proportional to 9,500.10, 13,114.28 and 6,531.26

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Solution

The fourth proportional to 9,500.10, 13,114.28 and 6,531.26 is: 9,015.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.10 : 13,114.28 = 6,531.26 : x
  2. Step 2: Convert to fraction form
    9,500.10/13,114.28 = 6,531.26/x
  3. Step 3: Cross multiply
    9,500.10x = 13,114.28 × 6,531.26
  4. Step 4: Simplify right side
    9,500.10x = 85,652,772.39
  5. Step 5: Solve for x
    x = 85,652,772.39/9,500.10
  6. Step 6: Final answer
    x = 9,015.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.