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Finding the Fourth Proportional to 9,098.71, 12,556.34 and 5,119.83

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Solution

The fourth proportional to 9,098.71, 12,556.34 and 5,119.83 is: 7,065.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.71 : 12,556.34 = 5,119.83 : x
  2. Step 2: Convert to fraction form
    9,098.71/12,556.34 = 5,119.83/x
  3. Step 3: Cross multiply
    9,098.71x = 12,556.34 × 5,119.83
  4. Step 4: Simplify right side
    9,098.71x = 64,286,300.62
  5. Step 5: Solve for x
    x = 64,286,300.62/9,098.71
  6. Step 6: Final answer
    x = 7,065.43

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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.