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Finding the Fourth Proportional to 9,750.71, 13,455.96 and 5,274.44

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Solution

The fourth proportional to 9,750.71, 13,455.96 and 5,274.44 is: 7,278.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.71 : 13,455.96 = 5,274.44 : x
  2. Step 2: Convert to fraction form
    9,750.71/13,455.96 = 5,274.44/x
  3. Step 3: Cross multiply
    9,750.71x = 13,455.96 × 5,274.44
  4. Step 4: Simplify right side
    9,750.71x = 70,972,653.66
  5. Step 5: Solve for x
    x = 70,972,653.66/9,750.71
  6. Step 6: Final answer
    x = 7,278.72

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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.