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Finding the Fourth Proportional to 8,733.28, 12,063.72 and 6,977.20

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Solution

The fourth proportional to 8,733.28, 12,063.72 and 6,977.20 is: 9,637.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,733.28 : 12,063.72 = 6,977.20 : x
  2. Step 2: Convert to fraction form
    8,733.28/12,063.72 = 6,977.20/x
  3. Step 3: Cross multiply
    8,733.28x = 12,063.72 × 6,977.20
  4. Step 4: Simplify right side
    8,733.28x = 84,170,987.18
  5. Step 5: Solve for x
    x = 84,170,987.18/8,733.28
  6. Step 6: Final answer
    x = 9,637.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.