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Finding the Fourth Proportional to 9,610.75, 14,416.14 and 2,685.25

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Solution

The fourth proportional to 9,610.75, 14,416.14 and 2,685.25 is: 4,027.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,610.75 : 14,416.14 = 2,685.25 : x
  2. Step 2: Convert to fraction form
    9,610.75/14,416.14 = 2,685.25/x
  3. Step 3: Cross multiply
    9,610.75x = 14,416.14 × 2,685.25
  4. Step 4: Simplify right side
    9,610.75x = 38,710,939.94
  5. Step 5: Solve for x
    x = 38,710,939.94/9,610.75
  6. Step 6: Final answer
    x = 4,027.88

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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.