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Finding the Fourth Proportional to 9,537.87, 14,307.21 and 3,614.16

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Solution

The fourth proportional to 9,537.87, 14,307.21 and 3,614.16 is: 5,421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.87 : 14,307.21 = 3,614.16 : x
  2. Step 2: Convert to fraction form
    9,537.87/14,307.21 = 3,614.16/x
  3. Step 3: Cross multiply
    9,537.87x = 14,307.21 × 3,614.16
  4. Step 4: Simplify right side
    9,537.87x = 51,708,546.09
  5. Step 5: Solve for x
    x = 51,708,546.09/9,537.87
  6. Step 6: Final answer
    x = 5,421.39

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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.