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Finding the Fourth Proportional to 6,053.81, 9,086.18 and 3,134.16

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Solution

The fourth proportional to 6,053.81, 9,086.18 and 3,134.16 is: 4,704.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,053.81 : 9,086.18 = 3,134.16 : x
  2. Step 2: Convert to fraction form
    6,053.81/9,086.18 = 3,134.16/x
  3. Step 3: Cross multiply
    6,053.81x = 9,086.18 × 3,134.16
  4. Step 4: Simplify right side
    6,053.81x = 28,477,526.24
  5. Step 5: Solve for x
    x = 28,477,526.24/6,053.81
  6. Step 6: Final answer
    x = 4,704.07

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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.