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Finding the Fourth Proportional to 8,504.16, 12,732.57 and 6,417.84

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Solution

The fourth proportional to 8,504.16, 12,732.57 and 6,417.84 is: 9,608.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,504.16 : 12,732.57 = 6,417.84 : x
  2. Step 2: Convert to fraction form
    8,504.16/12,732.57 = 6,417.84/x
  3. Step 3: Cross multiply
    8,504.16x = 12,732.57 × 6,417.84
  4. Step 4: Simplify right side
    8,504.16x = 81,715,597.05
  5. Step 5: Solve for x
    x = 81,715,597.05/8,504.16
  6. Step 6: Final answer
    x = 9,608.90

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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.