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Finding the Fourth Proportional to 9,750.88, 13,456.13 and 5,274.55

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Solution

The fourth proportional to 9,750.88, 13,456.13 and 5,274.55 is: 7,278.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.88 : 13,456.13 = 5,274.55 : x
  2. Step 2: Convert to fraction form
    9,750.88/13,456.13 = 5,274.55/x
  3. Step 3: Cross multiply
    9,750.88x = 13,456.13 × 5,274.55
  4. Step 4: Simplify right side
    9,750.88x = 70,975,020.94
  5. Step 5: Solve for x
    x = 70,975,020.94/9,750.88
  6. Step 6: Final answer
    x = 7,278.83

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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.