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Finding the Fourth Proportional to 10,147.47, 13,998.39 and 6,790.42

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Solution

The fourth proportional to 10,147.47, 13,998.39 and 6,790.42 is: 9,367.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,147.47 : 13,998.39 = 6,790.42 : x
  2. Step 2: Convert to fraction form
    10,147.47/13,998.39 = 6,790.42/x
  3. Step 3: Cross multiply
    10,147.47x = 13,998.39 × 6,790.42
  4. Step 4: Simplify right side
    10,147.47x = 95,054,947.42
  5. Step 5: Solve for x
    x = 95,054,947.42/10,147.47
  6. Step 6: Final answer
    x = 9,367.35

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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.