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Finding the Fourth Proportional to 9,381.91, 14,074.95 and 3,538.57

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Solution

The fourth proportional to 9,381.91, 14,074.95 and 3,538.57 is: 5,308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.91 : 14,074.95 = 3,538.57 : x
  2. Step 2: Convert to fraction form
    9,381.91/14,074.95 = 3,538.57/x
  3. Step 3: Cross multiply
    9,381.91x = 14,074.95 × 3,538.57
  4. Step 4: Simplify right side
    9,381.91x = 49,805,195.82
  5. Step 5: Solve for x
    x = 49,805,195.82/9,381.91
  6. Step 6: Final answer
    x = 5,308.64

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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.