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Finding the Fourth Proportional to 9,654.06, 14,465.97 and 7,705.74

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Solution

The fourth proportional to 9,654.06, 14,465.97 and 7,705.74 is: 11,546.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.06 : 14,465.97 = 7,705.74 : x
  2. Step 2: Convert to fraction form
    9,654.06/14,465.97 = 7,705.74/x
  3. Step 3: Cross multiply
    9,654.06x = 14,465.97 × 7,705.74
  4. Step 4: Simplify right side
    9,654.06x = 111,471,003.67
  5. Step 5: Solve for x
    x = 111,471,003.67/9,654.06
  6. Step 6: Final answer
    x = 11,546.54

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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.