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Finding the Fourth Proportional to 9,792.98, 14,687.31 and 3,217.40

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Solution

The fourth proportional to 9,792.98, 14,687.31 and 3,217.40 is: 4,825.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.98 : 14,687.31 = 3,217.40 : x
  2. Step 2: Convert to fraction form
    9,792.98/14,687.31 = 3,217.40/x
  3. Step 3: Cross multiply
    9,792.98x = 14,687.31 × 3,217.40
  4. Step 4: Simplify right side
    9,792.98x = 47,254,951.19
  5. Step 5: Solve for x
    x = 47,254,951.19/9,792.98
  6. Step 6: Final answer
    x = 4,825.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.