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Finding the Fourth Proportional to 9,131.76, 13,697.52 and 5,233.38

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Solution

The fourth proportional to 9,131.76, 13,697.52 and 5,233.38 is: 7,850.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.76 : 13,697.52 = 5,233.38 : x
  2. Step 2: Convert to fraction form
    9,131.76/13,697.52 = 5,233.38/x
  3. Step 3: Cross multiply
    9,131.76x = 13,697.52 × 5,233.38
  4. Step 4: Simplify right side
    9,131.76x = 71,684,327.22
  5. Step 5: Solve for x
    x = 71,684,327.22/9,131.76
  6. Step 6: Final answer
    x = 7,850.00

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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.