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Finding the Fourth Proportional to 9,197.98, 12,693.84 and 5,219.12

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Solution

The fourth proportional to 9,197.98, 12,693.84 and 5,219.12 is: 7,202.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.98 : 12,693.84 = 5,219.12 : x
  2. Step 2: Convert to fraction form
    9,197.98/12,693.84 = 5,219.12/x
  3. Step 3: Cross multiply
    9,197.98x = 12,693.84 × 5,219.12
  4. Step 4: Simplify right side
    9,197.98x = 66,250,674.22
  5. Step 5: Solve for x
    x = 66,250,674.22/9,197.98
  6. Step 6: Final answer
    x = 7,202.74

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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.