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Finding the Fourth Proportional to 8,766.64, 12,097.42 and 4,786.94

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Solution

The fourth proportional to 8,766.64, 12,097.42 and 4,786.94 is: 6,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,766.64 : 12,097.42 = 4,786.94 : x
  2. Step 2: Convert to fraction form
    8,766.64/12,097.42 = 4,786.94/x
  3. Step 3: Cross multiply
    8,766.64x = 12,097.42 × 4,786.94
  4. Step 4: Simplify right side
    8,766.64x = 57,909,623.69
  5. Step 5: Solve for x
    x = 57,909,623.69/8,766.64
  6. Step 6: Final answer
    x = 6,605.68

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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.