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Finding the Fourth Proportional to 9,157.50, 13,742.46 and 3,610.98

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Solution

The fourth proportional to 9,157.50, 13,742.46 and 3,610.98 is: 5,418.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.50 : 13,742.46 = 3,610.98 : x
  2. Step 2: Convert to fraction form
    9,157.50/13,742.46 = 3,610.98/x
  3. Step 3: Cross multiply
    9,157.50x = 13,742.46 × 3,610.98
  4. Step 4: Simplify right side
    9,157.50x = 49,623,748.21
  5. Step 5: Solve for x
    x = 49,623,748.21/9,157.50
  6. Step 6: Final answer
    x = 5,418.92

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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.