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Finding the Fourth Proportional to 9,806.25, 14,712.62 and 3,143.80

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Solution

The fourth proportional to 9,806.25, 14,712.62 and 3,143.80 is: 4,716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.25 : 14,712.62 = 3,143.80 : x
  2. Step 2: Convert to fraction form
    9,806.25/14,712.62 = 3,143.80/x
  3. Step 3: Cross multiply
    9,806.25x = 14,712.62 × 3,143.80
  4. Step 4: Simplify right side
    9,806.25x = 46,253,534.76
  5. Step 5: Solve for x
    x = 46,253,534.76/9,806.25
  6. Step 6: Final answer
    x = 4,716.74

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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.