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Finding the Fourth Proportional to 9,750.92, 13,456.28 and 5,274.66

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Solution

The fourth proportional to 9,750.92, 13,456.28 and 5,274.66 is: 7,279.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.92 : 13,456.28 = 5,274.66 : x
  2. Step 2: Convert to fraction form
    9,750.92/13,456.28 = 5,274.66/x
  3. Step 3: Cross multiply
    9,750.92x = 13,456.28 × 5,274.66
  4. Step 4: Simplify right side
    9,750.92x = 70,977,315.05
  5. Step 5: Solve for x
    x = 70,977,315.05/9,750.92
  6. Step 6: Final answer
    x = 7,279.04

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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.