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Finding the Fourth Proportional to 9,386.82, 12,954.21 and 5,195.07

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Solution

The fourth proportional to 9,386.82, 12,954.21 and 5,195.07 is: 7,169.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.82 : 12,954.21 = 5,195.07 : x
  2. Step 2: Convert to fraction form
    9,386.82/12,954.21 = 5,195.07/x
  3. Step 3: Cross multiply
    9,386.82x = 12,954.21 × 5,195.07
  4. Step 4: Simplify right side
    9,386.82x = 67,298,027.74
  5. Step 5: Solve for x
    x = 67,298,027.74/9,386.82
  6. Step 6: Final answer
    x = 7,169.42

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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.