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Finding the Fourth Proportional to 9,126.64, 13,692.28 and 2,552.84

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Solution

The fourth proportional to 9,126.64, 13,692.28 and 2,552.84 is: 3,829.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.64 : 13,692.28 = 2,552.84 : x
  2. Step 2: Convert to fraction form
    9,126.64/13,692.28 = 2,552.84/x
  3. Step 3: Cross multiply
    9,126.64x = 13,692.28 × 2,552.84
  4. Step 4: Simplify right side
    9,126.64x = 34,954,200.08
  5. Step 5: Solve for x
    x = 34,954,200.08/9,126.64
  6. Step 6: Final answer
    x = 3,829.91

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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.