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Finding the Fourth Proportional to 6,123.16, 8,450.06 and 3,470.51

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Solution

The fourth proportional to 6,123.16, 8,450.06 and 3,470.51 is: 4,789.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.16 : 8,450.06 = 3,470.51 : x
  2. Step 2: Convert to fraction form
    6,123.16/8,450.06 = 3,470.51/x
  3. Step 3: Cross multiply
    6,123.16x = 8,450.06 × 3,470.51
  4. Step 4: Simplify right side
    6,123.16x = 29,325,989.82
  5. Step 5: Solve for x
    x = 29,325,989.82/6,123.16
  6. Step 6: Final answer
    x = 4,789.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.