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Finding the Fourth Proportional to 8,782.36, 13,154.04 and 6,309.76

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Solution

The fourth proportional to 8,782.36, 13,154.04 and 6,309.76 is: 9,450.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.36 : 13,154.04 = 6,309.76 : x
  2. Step 2: Convert to fraction form
    8,782.36/13,154.04 = 6,309.76/x
  3. Step 3: Cross multiply
    8,782.36x = 13,154.04 × 6,309.76
  4. Step 4: Simplify right side
    8,782.36x = 82,998,835.43
  5. Step 5: Solve for x
    x = 82,998,835.43/8,782.36
  6. Step 6: Final answer
    x = 9,450.63

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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.