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Finding the Fourth Proportional to 9,083.12, 12,534.02 and 5,103.48

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Solution

The fourth proportional to 9,083.12, 12,534.02 and 5,103.48 is: 7,042.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.12 : 12,534.02 = 5,103.48 : x
  2. Step 2: Convert to fraction form
    9,083.12/12,534.02 = 5,103.48/x
  3. Step 3: Cross multiply
    9,083.12x = 12,534.02 × 5,103.48
  4. Step 4: Simplify right side
    9,083.12x = 63,967,120.39
  5. Step 5: Solve for x
    x = 63,967,120.39/9,083.12
  6. Step 6: Final answer
    x = 7,042.42

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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.