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Finding the Fourth Proportional to 9,759.40, 14,643.90 and 7,418.60

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Solution

The fourth proportional to 9,759.40, 14,643.90 and 7,418.60 is: 11,131.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.40 : 14,643.90 = 7,418.60 : x
  2. Step 2: Convert to fraction form
    9,759.40/14,643.90 = 7,418.60/x
  3. Step 3: Cross multiply
    9,759.40x = 14,643.90 × 7,418.60
  4. Step 4: Simplify right side
    9,759.40x = 108,637,236.54
  5. Step 5: Solve for x
    x = 108,637,236.54/9,759.40
  6. Step 6: Final answer
    x = 11,131.55

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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.