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Finding the Fourth Proportional to 9,275.23, 12,800.15 and 5,083.48

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Solution

The fourth proportional to 9,275.23, 12,800.15 and 5,083.48 is: 7,015.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.23 : 12,800.15 = 5,083.48 : x
  2. Step 2: Convert to fraction form
    9,275.23/12,800.15 = 5,083.48/x
  3. Step 3: Cross multiply
    9,275.23x = 12,800.15 × 5,083.48
  4. Step 4: Simplify right side
    9,275.23x = 65,069,306.52
  5. Step 5: Solve for x
    x = 65,069,306.52/9,275.23
  6. Step 6: Final answer
    x = 7,015.38

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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.