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Finding the Fourth Proportional to 9,715.26, 13,457.82 and 9,518.42

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Solution

The fourth proportional to 9,715.26, 13,457.82 and 9,518.42 is: 13,185.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.26 : 13,457.82 = 9,518.42 : x
  2. Step 2: Convert to fraction form
    9,715.26/13,457.82 = 9,518.42/x
  3. Step 3: Cross multiply
    9,715.26x = 13,457.82 × 9,518.42
  4. Step 4: Simplify right side
    9,715.26x = 128,097,183.04
  5. Step 5: Solve for x
    x = 128,097,183.04/9,715.26
  6. Step 6: Final answer
    x = 13,185.15

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.