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Finding the Fourth Proportional to 9,386.69, 12,954.04 and 5,194.94

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Solution

The fourth proportional to 9,386.69, 12,954.04 and 5,194.94 is: 7,169.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.69 : 12,954.04 = 5,194.94 : x
  2. Step 2: Convert to fraction form
    9,386.69/12,954.04 = 5,194.94/x
  3. Step 3: Cross multiply
    9,386.69x = 12,954.04 × 5,194.94
  4. Step 4: Simplify right side
    9,386.69x = 67,295,460.56
  5. Step 5: Solve for x
    x = 67,295,460.56/9,386.69
  6. Step 6: Final answer
    x = 7,169.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.