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Finding the Fourth Proportional to 9,261.64, 13,891.56 and 5,100.28

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Solution

The fourth proportional to 9,261.64, 13,891.56 and 5,100.28 is: 7,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.64 : 13,891.56 = 5,100.28 : x
  2. Step 2: Convert to fraction form
    9,261.64/13,891.56 = 5,100.28/x
  3. Step 3: Cross multiply
    9,261.64x = 13,891.56 × 5,100.28
  4. Step 4: Simplify right side
    9,261.64x = 70,850,845.64
  5. Step 5: Solve for x
    x = 70,850,845.64/9,261.64
  6. Step 6: Final answer
    x = 7,649.92

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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.