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Finding the Fourth Proportional to 9,537.42, 13,161.49 and 5,230.50

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Solution

The fourth proportional to 9,537.42, 13,161.49 and 5,230.50 is: 7,218.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.42 : 13,161.49 = 5,230.50 : x
  2. Step 2: Convert to fraction form
    9,537.42/13,161.49 = 5,230.50/x
  3. Step 3: Cross multiply
    9,537.42x = 13,161.49 × 5,230.50
  4. Step 4: Simplify right side
    9,537.42x = 68,841,173.45
  5. Step 5: Solve for x
    x = 68,841,173.45/9,537.42
  6. Step 6: Final answer
    x = 7,218.01

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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.