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Finding the Fourth Proportional to 9,469.02, 13,068.06 and 5,692.80

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Solution

The fourth proportional to 9,469.02, 13,068.06 and 5,692.80 is: 7,856.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.02 : 13,068.06 = 5,692.80 : x
  2. Step 2: Convert to fraction form
    9,469.02/13,068.06 = 5,692.80/x
  3. Step 3: Cross multiply
    9,469.02x = 13,068.06 × 5,692.80
  4. Step 4: Simplify right side
    9,469.02x = 74,393,851.97
  5. Step 5: Solve for x
    x = 74,393,851.97/9,469.02
  6. Step 6: Final answer
    x = 7,856.55

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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.