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Finding the Fourth Proportional to 9,593.13, 13,237.02 and 5,342.86

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Solution

The fourth proportional to 9,593.13, 13,237.02 and 5,342.86 is: 7,372.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.13 : 13,237.02 = 5,342.86 : x
  2. Step 2: Convert to fraction form
    9,593.13/13,237.02 = 5,342.86/x
  3. Step 3: Cross multiply
    9,593.13x = 13,237.02 × 5,342.86
  4. Step 4: Simplify right side
    9,593.13x = 70,723,561.22
  5. Step 5: Solve for x
    x = 70,723,561.22/9,593.13
  6. Step 6: Final answer
    x = 7,372.31

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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.