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Finding the Fourth Proportional to 9,750.28, 13,455.33 and 5,274.02

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Solution

The fourth proportional to 9,750.28, 13,455.33 and 5,274.02 is: 7,278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,750.28 : 13,455.33 = 5,274.02 : x
  2. Step 2: Convert to fraction form
    9,750.28/13,455.33 = 5,274.02/x
  3. Step 3: Cross multiply
    9,750.28x = 13,455.33 × 5,274.02
  4. Step 4: Simplify right side
    9,750.28x = 70,963,679.53
  5. Step 5: Solve for x
    x = 70,963,679.53/9,750.28
  6. Step 6: Final answer
    x = 7,278.12

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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.