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Finding the Fourth Proportional to 9,925.20, 13,692.44 and 5,946.21

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Solution

The fourth proportional to 9,925.20, 13,692.44 and 5,946.21 is: 8,203.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.20 : 13,692.44 = 5,946.21 : x
  2. Step 2: Convert to fraction form
    9,925.20/13,692.44 = 5,946.21/x
  3. Step 3: Cross multiply
    9,925.20x = 13,692.44 × 5,946.21
  4. Step 4: Simplify right side
    9,925.20x = 81,418,138.52
  5. Step 5: Solve for x
    x = 81,418,138.52/9,925.20
  6. Step 6: Final answer
    x = 8,203.17

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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.