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Finding the Fourth Proportional to 9,673.75, 13,349.78 and 5,697.33

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Solution

The fourth proportional to 9,673.75, 13,349.78 and 5,697.33 is: 7,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.75 : 13,349.78 = 5,697.33 : x
  2. Step 2: Convert to fraction form
    9,673.75/13,349.78 = 5,697.33/x
  3. Step 3: Cross multiply
    9,673.75x = 13,349.78 × 5,697.33
  4. Step 4: Simplify right side
    9,673.75x = 76,058,102.09
  5. Step 5: Solve for x
    x = 76,058,102.09/9,673.75
  6. Step 6: Final answer
    x = 7,862.32

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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.