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Finding the Fourth Proportional to 9,381.57, 14,074.32 and 3,538.14

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Solution

The fourth proportional to 9,381.57, 14,074.32 and 3,538.14 is: 5,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.57 : 14,074.32 = 3,538.14 : x
  2. Step 2: Convert to fraction form
    9,381.57/14,074.32 = 3,538.14/x
  3. Step 3: Cross multiply
    9,381.57x = 14,074.32 × 3,538.14
  4. Step 4: Simplify right side
    9,381.57x = 49,796,914.56
  5. Step 5: Solve for x
    x = 49,796,914.56/9,381.57
  6. Step 6: Final answer
    x = 5,307.95

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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.