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Finding the Fourth Proportional to 6,297.12, 9,444.06 and 3,009.60

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Solution

The fourth proportional to 6,297.12, 9,444.06 and 3,009.60 is: 4,513.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.12 : 9,444.06 = 3,009.60 : x
  2. Step 2: Convert to fraction form
    6,297.12/9,444.06 = 3,009.60/x
  3. Step 3: Cross multiply
    6,297.12x = 9,444.06 × 3,009.60
  4. Step 4: Simplify right side
    6,297.12x = 28,422,842.98
  5. Step 5: Solve for x
    x = 28,422,842.98/6,297.12
  6. Step 6: Final answer
    x = 4,513.63

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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.