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Finding the Fourth Proportional to 9,273.27, 12,797.12 and 5,498.28

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Solution

The fourth proportional to 9,273.27, 12,797.12 and 5,498.28 is: 7,587.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,273.27 : 12,797.12 = 5,498.28 : x
  2. Step 2: Convert to fraction form
    9,273.27/12,797.12 = 5,498.28/x
  3. Step 3: Cross multiply
    9,273.27x = 12,797.12 × 5,498.28
  4. Step 4: Simplify right side
    9,273.27x = 70,362,148.95
  5. Step 5: Solve for x
    x = 70,362,148.95/9,273.27
  6. Step 6: Final answer
    x = 7,587.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.