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Finding the Fourth Proportional to 8,596.38, 12,892.49 and 6,283.63

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Solution

The fourth proportional to 8,596.38, 12,892.49 and 6,283.63 is: 9,423.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.38 : 12,892.49 = 6,283.63 : x
  2. Step 2: Convert to fraction form
    8,596.38/12,892.49 = 6,283.63/x
  3. Step 3: Cross multiply
    8,596.38x = 12,892.49 × 6,283.63
  4. Step 4: Simplify right side
    8,596.38x = 81,011,541.06
  5. Step 5: Solve for x
    x = 81,011,541.06/8,596.38
  6. Step 6: Final answer
    x = 9,423.91

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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.