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Finding the Fourth Proportional to 9,495.26, 13,102.82 and 5,717.70

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Solution

The fourth proportional to 9,495.26, 13,102.82 and 5,717.70 is: 7,890.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,495.26 : 13,102.82 = 5,717.70 : x
  2. Step 2: Convert to fraction form
    9,495.26/13,102.82 = 5,717.70/x
  3. Step 3: Cross multiply
    9,495.26x = 13,102.82 × 5,717.70
  4. Step 4: Simplify right side
    9,495.26x = 74,917,993.91
  5. Step 5: Solve for x
    x = 74,917,993.91/9,495.26
  6. Step 6: Final answer
    x = 7,890.04

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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.