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Finding the Fourth Proportional to 9,386.44, 14,082.90 and 3,544.72

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Solution

The fourth proportional to 9,386.44, 14,082.90 and 3,544.72 is: 5,318.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.44 : 14,082.90 = 3,544.72 : x
  2. Step 2: Convert to fraction form
    9,386.44/14,082.90 = 3,544.72/x
  3. Step 3: Cross multiply
    9,386.44x = 14,082.90 × 3,544.72
  4. Step 4: Simplify right side
    9,386.44x = 49,919,937.29
  5. Step 5: Solve for x
    x = 49,919,937.29/9,386.44
  6. Step 6: Final answer
    x = 5,318.30

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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.