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Finding the Fourth Proportional to 9,652.88, 14,459.19 and 7,768.61

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Solution

The fourth proportional to 9,652.88, 14,459.19 and 7,768.61 is: 11,636.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.88 : 14,459.19 = 7,768.61 : x
  2. Step 2: Convert to fraction form
    9,652.88/14,459.19 = 7,768.61/x
  3. Step 3: Cross multiply
    9,652.88x = 14,459.19 × 7,768.61
  4. Step 4: Simplify right side
    9,652.88x = 112,327,735.73
  5. Step 5: Solve for x
    x = 112,327,735.73/9,652.88
  6. Step 6: Final answer
    x = 11,636.71

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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.