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Finding the Fourth Proportional to 8,609.84, 11,867.76 and 6,482.24

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Solution

The fourth proportional to 8,609.84, 11,867.76 and 6,482.24 is: 8,935.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.84 : 11,867.76 = 6,482.24 : x
  2. Step 2: Convert to fraction form
    8,609.84/11,867.76 = 6,482.24/x
  3. Step 3: Cross multiply
    8,609.84x = 11,867.76 × 6,482.24
  4. Step 4: Simplify right side
    8,609.84x = 76,929,668.58
  5. Step 5: Solve for x
    x = 76,929,668.58/8,609.84
  6. Step 6: Final answer
    x = 8,935.09

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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.