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Finding the Fourth Proportional to 9,457.27, 13,049.82 and 5,681.11

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Solution

The fourth proportional to 9,457.27, 13,049.82 and 5,681.11 is: 7,839.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.27 : 13,049.82 = 5,681.11 : x
  2. Step 2: Convert to fraction form
    9,457.27/13,049.82 = 5,681.11/x
  3. Step 3: Cross multiply
    9,457.27x = 13,049.82 × 5,681.11
  4. Step 4: Simplify right side
    9,457.27x = 74,137,416.85
  5. Step 5: Solve for x
    x = 74,137,416.85/9,457.27
  6. Step 6: Final answer
    x = 7,839.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.