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Finding the Fourth Proportional to 9,772.62, 14,650.70 and 6,643.86

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Solution

The fourth proportional to 9,772.62, 14,650.70 and 6,643.86 is: 9,960.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.62 : 14,650.70 = 6,643.86 : x
  2. Step 2: Convert to fraction form
    9,772.62/14,650.70 = 6,643.86/x
  3. Step 3: Cross multiply
    9,772.62x = 14,650.70 × 6,643.86
  4. Step 4: Simplify right side
    9,772.62x = 97,337,166.48
  5. Step 5: Solve for x
    x = 97,337,166.48/9,772.62
  6. Step 6: Final answer
    x = 9,960.19

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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.