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Finding the Fourth Proportional to 9,538.82, 14,305.36 and 3,613.74

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Solution

The fourth proportional to 9,538.82, 14,305.36 and 3,613.74 is: 5,419.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.82 : 14,305.36 = 3,613.74 : x
  2. Step 2: Convert to fraction form
    9,538.82/14,305.36 = 3,613.74/x
  3. Step 3: Cross multiply
    9,538.82x = 14,305.36 × 3,613.74
  4. Step 4: Simplify right side
    9,538.82x = 51,695,851.65
  5. Step 5: Solve for x
    x = 51,695,851.65/9,538.82
  6. Step 6: Final answer
    x = 5,419.52

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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.