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Finding the Fourth Proportional to 9,593.51, 14,393.14 and 3,019.75

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Solution

The fourth proportional to 9,593.51, 14,393.14 and 3,019.75 is: 4,530.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.51 : 14,393.14 = 3,019.75 : x
  2. Step 2: Convert to fraction form
    9,593.51/14,393.14 = 3,019.75/x
  3. Step 3: Cross multiply
    9,593.51x = 14,393.14 × 3,019.75
  4. Step 4: Simplify right side
    9,593.51x = 43,463,640.98
  5. Step 5: Solve for x
    x = 43,463,640.98/9,593.51
  6. Step 6: Final answer
    x = 4,530.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.