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Finding the Fourth Proportional to 9,283.38, 12,811.06 and 5,091.63

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Solution

The fourth proportional to 9,283.38, 12,811.06 and 5,091.63 is: 7,026.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.38 : 12,811.06 = 5,091.63 : x
  2. Step 2: Convert to fraction form
    9,283.38/12,811.06 = 5,091.63/x
  3. Step 3: Cross multiply
    9,283.38x = 12,811.06 × 5,091.63
  4. Step 4: Simplify right side
    9,283.38x = 65,229,177.43
  5. Step 5: Solve for x
    x = 65,229,177.43/9,283.38
  6. Step 6: Final answer
    x = 7,026.45

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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.