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Finding the Fourth Proportional to 6,086.96, 9,130.56 and 1,704.16

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Solution

The fourth proportional to 6,086.96, 9,130.56 and 1,704.16 is: 2,556.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.96 : 9,130.56 = 1,704.16 : x
  2. Step 2: Convert to fraction form
    6,086.96/9,130.56 = 1,704.16/x
  3. Step 3: Cross multiply
    6,086.96x = 9,130.56 × 1,704.16
  4. Step 4: Simplify right side
    6,086.96x = 15,559,935.13
  5. Step 5: Solve for x
    x = 15,559,935.13/6,086.96
  6. Step 6: Final answer
    x = 2,556.27

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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.