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Finding the Fourth Proportional to 6,096.44, 9,130.08 and 5,790.26

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Solution

The fourth proportional to 6,096.44, 9,130.08 and 5,790.26 is: 8,671.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.44 : 9,130.08 = 5,790.26 : x
  2. Step 2: Convert to fraction form
    6,096.44/9,130.08 = 5,790.26/x
  3. Step 3: Cross multiply
    6,096.44x = 9,130.08 × 5,790.26
  4. Step 4: Simplify right side
    6,096.44x = 52,865,537.02
  5. Step 5: Solve for x
    x = 52,865,537.02/6,096.44
  6. Step 6: Final answer
    x = 8,671.54

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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.