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Finding the Fourth Proportional to 9,255.64, 13,882.56 and 5,094.28

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Solution

The fourth proportional to 9,255.64, 13,882.56 and 5,094.28 is: 7,640.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.64 : 13,882.56 = 5,094.28 : x
  2. Step 2: Convert to fraction form
    9,255.64/13,882.56 = 5,094.28/x
  3. Step 3: Cross multiply
    9,255.64x = 13,882.56 × 5,094.28
  4. Step 4: Simplify right side
    9,255.64x = 70,721,647.76
  5. Step 5: Solve for x
    x = 70,721,647.76/9,255.64
  6. Step 6: Final answer
    x = 7,640.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.