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Finding the Fourth Proportional to 9,386.40, 12,884.23 and 8,300.37

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Solution

The fourth proportional to 9,386.40, 12,884.23 and 8,300.37 is: 11,393.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.40 : 12,884.23 = 8,300.37 : x
  2. Step 2: Convert to fraction form
    9,386.40/12,884.23 = 8,300.37/x
  3. Step 3: Cross multiply
    9,386.40x = 12,884.23 × 8,300.37
  4. Step 4: Simplify right side
    9,386.40x = 106,943,876.17
  5. Step 5: Solve for x
    x = 106,943,876.17/9,386.40
  6. Step 6: Final answer
    x = 11,393.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.