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Finding the Fourth Proportional to 9,546.01, 14,314.14 and 3,997.84

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Solution

The fourth proportional to 9,546.01, 14,314.14 and 3,997.84 is: 5,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,546.01 : 14,314.14 = 3,997.84 : x
  2. Step 2: Convert to fraction form
    9,546.01/14,314.14 = 3,997.84/x
  3. Step 3: Cross multiply
    9,546.01x = 14,314.14 × 3,997.84
  4. Step 4: Simplify right side
    9,546.01x = 57,225,641.46
  5. Step 5: Solve for x
    x = 57,225,641.46/9,546.01
  6. Step 6: Final answer
    x = 5,994.72

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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.