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Finding the Fourth Proportional to 9,493.25, 13,100.82 and 5,301.50

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Solution

The fourth proportional to 9,493.25, 13,100.82 and 5,301.50 is: 7,316.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.25 : 13,100.82 = 5,301.50 : x
  2. Step 2: Convert to fraction form
    9,493.25/13,100.82 = 5,301.50/x
  3. Step 3: Cross multiply
    9,493.25x = 13,100.82 × 5,301.50
  4. Step 4: Simplify right side
    9,493.25x = 69,453,997.23
  5. Step 5: Solve for x
    x = 69,453,997.23/9,493.25
  6. Step 6: Final answer
    x = 7,316.15

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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.