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Finding the Fourth Proportional to 9,409.84, 14,169.77 and 6,961.88

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Solution

The fourth proportional to 9,409.84, 14,169.77 and 6,961.88 is: 10,483.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.84 : 14,169.77 = 6,961.88 : x
  2. Step 2: Convert to fraction form
    9,409.84/14,169.77 = 6,961.88/x
  3. Step 3: Cross multiply
    9,409.84x = 14,169.77 × 6,961.88
  4. Step 4: Simplify right side
    9,409.84x = 98,648,265.09
  5. Step 5: Solve for x
    x = 98,648,265.09/9,409.84
  6. Step 6: Final answer
    x = 10,483.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.