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Finding the Fourth Proportional to 9,201.98, 12,705.89 and 7,074.21

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Solution

The fourth proportional to 9,201.98, 12,705.89 and 7,074.21 is: 9,767.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.98 : 12,705.89 = 7,074.21 : x
  2. Step 2: Convert to fraction form
    9,201.98/12,705.89 = 7,074.21/x
  3. Step 3: Cross multiply
    9,201.98x = 12,705.89 × 7,074.21
  4. Step 4: Simplify right side
    9,201.98x = 89,884,134.10
  5. Step 5: Solve for x
    x = 89,884,134.10/9,201.98
  6. Step 6: Final answer
    x = 9,767.91

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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.