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Finding the Fourth Proportional to 9,893.46, 14,805.81 and 6,143.70

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Solution

The fourth proportional to 9,893.46, 14,805.81 and 6,143.70 is: 9,194.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.46 : 14,805.81 = 6,143.70 : x
  2. Step 2: Convert to fraction form
    9,893.46/14,805.81 = 6,143.70/x
  3. Step 3: Cross multiply
    9,893.46x = 14,805.81 × 6,143.70
  4. Step 4: Simplify right side
    9,893.46x = 90,962,454.90
  5. Step 5: Solve for x
    x = 90,962,454.90/9,893.46
  6. Step 6: Final answer
    x = 9,194.20

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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.