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Finding the Fourth Proportional to 9,770.40, 14,657.40 and 3,194.82

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Solution

The fourth proportional to 9,770.40, 14,657.40 and 3,194.82 is: 4,792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.40 : 14,657.40 = 3,194.82 : x
  2. Step 2: Convert to fraction form
    9,770.40/14,657.40 = 3,194.82/x
  3. Step 3: Cross multiply
    9,770.40x = 14,657.40 × 3,194.82
  4. Step 4: Simplify right side
    9,770.40x = 46,827,754.67
  5. Step 5: Solve for x
    x = 46,827,754.67/9,770.40
  6. Step 6: Final answer
    x = 4,792.82

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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.