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Finding the Fourth Proportional to 6,298.98, 9,450.45 and 3,802.92

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Solution

The fourth proportional to 6,298.98, 9,450.45 and 3,802.92 is: 5,705.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.98 : 9,450.45 = 3,802.92 : x
  2. Step 2: Convert to fraction form
    6,298.98/9,450.45 = 3,802.92/x
  3. Step 3: Cross multiply
    6,298.98x = 9,450.45 × 3,802.92
  4. Step 4: Simplify right side
    6,298.98x = 35,939,305.31
  5. Step 5: Solve for x
    x = 35,939,305.31/6,298.98
  6. Step 6: Final answer
    x = 5,705.58

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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.