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Finding the Fourth Proportional to 9,462.50, 13,059.17 and 5,270.75

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Solution

The fourth proportional to 9,462.50, 13,059.17 and 5,270.75 is: 7,274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.50 : 13,059.17 = 5,270.75 : x
  2. Step 2: Convert to fraction form
    9,462.50/13,059.17 = 5,270.75/x
  3. Step 3: Cross multiply
    9,462.50x = 13,059.17 × 5,270.75
  4. Step 4: Simplify right side
    9,462.50x = 68,831,620.28
  5. Step 5: Solve for x
    x = 68,831,620.28/9,462.50
  6. Step 6: Final answer
    x = 7,274.15

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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.