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Finding the Fourth Proportional to 9,493.26, 13,100.06 and 5,715.70

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Solution

The fourth proportional to 9,493.26, 13,100.06 and 5,715.70 is: 7,887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.26 : 13,100.06 = 5,715.70 : x
  2. Step 2: Convert to fraction form
    9,493.26/13,100.06 = 5,715.70/x
  3. Step 3: Cross multiply
    9,493.26x = 13,100.06 × 5,715.70
  4. Step 4: Simplify right side
    9,493.26x = 74,876,012.94
  5. Step 5: Solve for x
    x = 74,876,012.94/9,493.26
  6. Step 6: Final answer
    x = 7,887.28

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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.