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Finding the Fourth Proportional to 9,358.09, 12,914.19 and 5,166.34

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Solution

The fourth proportional to 9,358.09, 12,914.19 and 5,166.34 is: 7,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.09 : 12,914.19 = 5,166.34 : x
  2. Step 2: Convert to fraction form
    9,358.09/12,914.19 = 5,166.34/x
  3. Step 3: Cross multiply
    9,358.09x = 12,914.19 × 5,166.34
  4. Step 4: Simplify right side
    9,358.09x = 66,719,096.36
  5. Step 5: Solve for x
    x = 66,719,096.36/9,358.09
  6. Step 6: Final answer
    x = 7,129.56

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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.