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Finding the Fourth Proportional to 9,506.16, 14,249.52 and 3,660.48

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Solution

The fourth proportional to 9,506.16, 14,249.52 and 3,660.48 is: 5,486.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.16 : 14,249.52 = 3,660.48 : x
  2. Step 2: Convert to fraction form
    9,506.16/14,249.52 = 3,660.48/x
  3. Step 3: Cross multiply
    9,506.16x = 14,249.52 × 3,660.48
  4. Step 4: Simplify right side
    9,506.16x = 52,160,082.97
  5. Step 5: Solve for x
    x = 52,160,082.97/9,506.16
  6. Step 6: Final answer
    x = 5,486.98

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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.