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Finding the Fourth Proportional to 9,381.68, 14,075.18 and 3,537.16

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Solution

The fourth proportional to 9,381.68, 14,075.18 and 3,537.16 is: 5,306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.68 : 14,075.18 = 3,537.16 : x
  2. Step 2: Convert to fraction form
    9,381.68/14,075.18 = 3,537.16/x
  3. Step 3: Cross multiply
    9,381.68x = 14,075.18 × 3,537.16
  4. Step 4: Simplify right side
    9,381.68x = 49,786,163.69
  5. Step 5: Solve for x
    x = 49,786,163.69/9,381.68
  6. Step 6: Final answer
    x = 5,306.74

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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.