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Finding the Fourth Proportional to 9,386.14, 12,953.10 and 5,194.39

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Solution

The fourth proportional to 9,386.14, 12,953.10 and 5,194.39 is: 7,168.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.14 : 12,953.10 = 5,194.39 : x
  2. Step 2: Convert to fraction form
    9,386.14/12,953.10 = 5,194.39/x
  3. Step 3: Cross multiply
    9,386.14x = 12,953.10 × 5,194.39
  4. Step 4: Simplify right side
    9,386.14x = 67,283,453.11
  5. Step 5: Solve for x
    x = 67,283,453.11/9,386.14
  6. Step 6: Final answer
    x = 7,168.38

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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.