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Finding the Fourth Proportional to 9,822.80, 14,719.80 and 3,969.20

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Solution

The fourth proportional to 9,822.80, 14,719.80 and 3,969.20 is: 5,947.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.80 : 14,719.80 = 3,969.20 : x
  2. Step 2: Convert to fraction form
    9,822.80/14,719.80 = 3,969.20/x
  3. Step 3: Cross multiply
    9,822.80x = 14,719.80 × 3,969.20
  4. Step 4: Simplify right side
    9,822.80x = 58,425,830.16
  5. Step 5: Solve for x
    x = 58,425,830.16/9,822.80
  6. Step 6: Final answer
    x = 5,947.98

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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.