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Finding the Fourth Proportional to 6,448.44, 9,677.52 and 2,988.12

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Solution

The fourth proportional to 6,448.44, 9,677.52 and 2,988.12 is: 4,484.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.44 : 9,677.52 = 2,988.12 : x
  2. Step 2: Convert to fraction form
    6,448.44/9,677.52 = 2,988.12/x
  3. Step 3: Cross multiply
    6,448.44x = 9,677.52 × 2,988.12
  4. Step 4: Simplify right side
    6,448.44x = 28,917,591.06
  5. Step 5: Solve for x
    x = 28,917,591.06/6,448.44
  6. Step 6: Final answer
    x = 4,484.43

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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.