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Finding the Fourth Proportional to 6,036.94, 9,049.70 and 3,114.46

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Solution

The fourth proportional to 6,036.94, 9,049.70 and 3,114.46 is: 4,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,036.94 : 9,049.70 = 3,114.46 : x
  2. Step 2: Convert to fraction form
    6,036.94/9,049.70 = 3,114.46/x
  3. Step 3: Cross multiply
    6,036.94x = 9,049.70 × 3,114.46
  4. Step 4: Simplify right side
    6,036.94x = 28,184,928.66
  5. Step 5: Solve for x
    x = 28,184,928.66/6,036.94
  6. Step 6: Final answer
    x = 4,668.74

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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.