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Finding the Fourth Proportional to 9,798.12, 14,635.20 and 9,229.48

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Solution

The fourth proportional to 9,798.12, 14,635.20 and 9,229.48 is: 13,785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.12 : 14,635.20 = 9,229.48 : x
  2. Step 2: Convert to fraction form
    9,798.12/14,635.20 = 9,229.48/x
  3. Step 3: Cross multiply
    9,798.12x = 14,635.20 × 9,229.48
  4. Step 4: Simplify right side
    9,798.12x = 135,075,285.70
  5. Step 5: Solve for x
    x = 135,075,285.70/9,798.12
  6. Step 6: Final answer
    x = 13,785.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.