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Finding the Fourth Proportional to 9,768.14, 14,652.19 and 2,372.60

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Solution

The fourth proportional to 9,768.14, 14,652.19 and 2,372.60 is: 3,558.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.14 : 14,652.19 = 2,372.60 : x
  2. Step 2: Convert to fraction form
    9,768.14/14,652.19 = 2,372.60/x
  3. Step 3: Cross multiply
    9,768.14x = 14,652.19 × 2,372.60
  4. Step 4: Simplify right side
    9,768.14x = 34,763,785.99
  5. Step 5: Solve for x
    x = 34,763,785.99/9,768.14
  6. Step 6: Final answer
    x = 3,558.90

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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.