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Finding the Fourth Proportional to 9,201.86, 12,705.72 and 7,074.09

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Solution

The fourth proportional to 9,201.86, 12,705.72 and 7,074.09 is: 9,767.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.86 : 12,705.72 = 7,074.09 : x
  2. Step 2: Convert to fraction form
    9,201.86/12,705.72 = 7,074.09/x
  3. Step 3: Cross multiply
    9,201.86x = 12,705.72 × 7,074.09
  4. Step 4: Simplify right side
    9,201.86x = 89,881,406.79
  5. Step 5: Solve for x
    x = 89,881,406.79/9,201.86
  6. Step 6: Final answer
    x = 9,767.75

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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.