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Finding the Fourth Proportional to 9,334.26, 12,881 and 5,142.52

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Solution

The fourth proportional to 9,334.26, 12,881 and 5,142.52 is: 7,096.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.26 : 12,881 = 5,142.52 : x
  2. Step 2: Convert to fraction form
    9,334.26/12,881 = 5,142.52/x
  3. Step 3: Cross multiply
    9,334.26x = 12,881 × 5,142.52
  4. Step 4: Simplify right side
    9,334.26x = 66,240,800.12
  5. Step 5: Solve for x
    x = 66,240,800.12/9,334.26
  6. Step 6: Final answer
    x = 7,096.52

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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.