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Finding the Fourth Proportional to 6,333.09, 9,502.35 and 3,046.20

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Solution

The fourth proportional to 6,333.09, 9,502.35 and 3,046.20 is: 4,570.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.09 : 9,502.35 = 3,046.20 : x
  2. Step 2: Convert to fraction form
    6,333.09/9,502.35 = 3,046.20/x
  3. Step 3: Cross multiply
    6,333.09x = 9,502.35 × 3,046.20
  4. Step 4: Simplify right side
    6,333.09x = 28,946,058.57
  5. Step 5: Solve for x
    x = 28,946,058.57/6,333.09
  6. Step 6: Final answer
    x = 4,570.61

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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.