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Finding the Fourth Proportional to 6,444.25, 9,667.59 and 2,981.50

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Solution

The fourth proportional to 6,444.25, 9,667.59 and 2,981.50 is: 4,472.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.25 : 9,667.59 = 2,981.50 : x
  2. Step 2: Convert to fraction form
    6,444.25/9,667.59 = 2,981.50/x
  3. Step 3: Cross multiply
    6,444.25x = 9,667.59 × 2,981.50
  4. Step 4: Simplify right side
    6,444.25x = 28,823,919.59
  5. Step 5: Solve for x
    x = 28,823,919.59/6,444.25
  6. Step 6: Final answer
    x = 4,472.81

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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.