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Finding the Fourth Proportional to 9,128, 13,692.84 and 2,554.17

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Solution

The fourth proportional to 9,128, 13,692.84 and 2,554.17 is: 3,831.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,128 : 13,692.84 = 2,554.17 : x
  2. Step 2: Convert to fraction form
    9,128/13,692.84 = 2,554.17/x
  3. Step 3: Cross multiply
    9,128x = 13,692.84 × 2,554.17
  4. Step 4: Simplify right side
    9,128x = 34,973,841.14
  5. Step 5: Solve for x
    x = 34,973,841.14/9,128
  6. Step 6: Final answer
    x = 3,831.49

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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.