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Finding the Fourth Proportional to 8,497.63, 12,722.82 and 6,411.34

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Solution

The fourth proportional to 8,497.63, 12,722.82 and 6,411.34 is: 9,599.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.63 : 12,722.82 = 6,411.34 : x
  2. Step 2: Convert to fraction form
    8,497.63/12,722.82 = 6,411.34/x
  3. Step 3: Cross multiply
    8,497.63x = 12,722.82 × 6,411.34
  4. Step 4: Simplify right side
    8,497.63x = 81,570,324.78
  5. Step 5: Solve for x
    x = 81,570,324.78/8,497.63
  6. Step 6: Final answer
    x = 9,599.19

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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.