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Finding the Fourth Proportional to 8,885.84, 12,267.24 and 6,477.80

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Solution

The fourth proportional to 8,885.84, 12,267.24 and 6,477.80 is: 8,942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,885.84 : 12,267.24 = 6,477.80 : x
  2. Step 2: Convert to fraction form
    8,885.84/12,267.24 = 6,477.80/x
  3. Step 3: Cross multiply
    8,885.84x = 12,267.24 × 6,477.80
  4. Step 4: Simplify right side
    8,885.84x = 79,464,727.27
  5. Step 5: Solve for x
    x = 79,464,727.27/8,885.84
  6. Step 6: Final answer
    x = 8,942.85

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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.