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Finding the Fourth Proportional to 9,768.18, 14,652.16 and 2,372.72

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Solution

The fourth proportional to 9,768.18, 14,652.16 and 2,372.72 is: 3,559.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.18 : 14,652.16 = 2,372.72 : x
  2. Step 2: Convert to fraction form
    9,768.18/14,652.16 = 2,372.72/x
  3. Step 3: Cross multiply
    9,768.18x = 14,652.16 × 2,372.72
  4. Step 4: Simplify right side
    9,768.18x = 34,765,473.08
  5. Step 5: Solve for x
    x = 34,765,473.08/9,768.18
  6. Step 6: Final answer
    x = 3,559.05

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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.