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Finding the Fourth Proportional to 6,298.83, 9,444.09 and 3,525.81

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Solution

The fourth proportional to 6,298.83, 9,444.09 and 3,525.81 is: 5,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.83 : 9,444.09 = 3,525.81 : x
  2. Step 2: Convert to fraction form
    6,298.83/9,444.09 = 3,525.81/x
  3. Step 3: Cross multiply
    6,298.83x = 9,444.09 × 3,525.81
  4. Step 4: Simplify right side
    6,298.83x = 33,298,066.96
  5. Step 5: Solve for x
    x = 33,298,066.96/6,298.83
  6. Step 6: Final answer
    x = 5,286.39

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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.