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Finding the Fourth Proportional to 8,364.84, 12,547.68 and 3,171.12

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Solution

The fourth proportional to 8,364.84, 12,547.68 and 3,171.12 is: 4,756.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.84 : 12,547.68 = 3,171.12 : x
  2. Step 2: Convert to fraction form
    8,364.84/12,547.68 = 3,171.12/x
  3. Step 3: Cross multiply
    8,364.84x = 12,547.68 × 3,171.12
  4. Step 4: Simplify right side
    8,364.84x = 39,790,199.00
  5. Step 5: Solve for x
    x = 39,790,199.00/8,364.84
  6. Step 6: Final answer
    x = 4,756.84

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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.