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Finding the Fourth Proportional to 6,334.36, 9,502.36 and 3,048.20

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Solution

The fourth proportional to 6,334.36, 9,502.36 and 3,048.20 is: 4,572.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.36 : 9,502.36 = 3,048.20 : x
  2. Step 2: Convert to fraction form
    6,334.36/9,502.36 = 3,048.20/x
  3. Step 3: Cross multiply
    6,334.36x = 9,502.36 × 3,048.20
  4. Step 4: Simplify right side
    6,334.36x = 28,965,093.75
  5. Step 5: Solve for x
    x = 28,965,093.75/6,334.36
  6. Step 6: Final answer
    x = 4,572.69

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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.