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Finding the Fourth Proportional to 8,729.42, 13,094.06 and 3,535.22

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Solution

The fourth proportional to 8,729.42, 13,094.06 and 3,535.22 is: 5,302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,729.42 : 13,094.06 = 3,535.22 : x
  2. Step 2: Convert to fraction form
    8,729.42/13,094.06 = 3,535.22/x
  3. Step 3: Cross multiply
    8,729.42x = 13,094.06 × 3,535.22
  4. Step 4: Simplify right side
    8,729.42x = 46,290,382.79
  5. Step 5: Solve for x
    x = 46,290,382.79/8,729.42
  6. Step 6: Final answer
    x = 5,302.80

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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.