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Finding the Fourth Proportional to 9,496.75, 13,100.03 and 5,717.29

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Solution

The fourth proportional to 9,496.75, 13,100.03 and 5,717.29 is: 7,886.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.75 : 13,100.03 = 5,717.29 : x
  2. Step 2: Convert to fraction form
    9,496.75/13,100.03 = 5,717.29/x
  3. Step 3: Cross multiply
    9,496.75x = 13,100.03 × 5,717.29
  4. Step 4: Simplify right side
    9,496.75x = 74,896,670.52
  5. Step 5: Solve for x
    x = 74,896,670.52/9,496.75
  6. Step 6: Final answer
    x = 7,886.56

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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.