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Finding the Fourth Proportional to 9,759.88, 14,645.82 and 4,566.28

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Solution

The fourth proportional to 9,759.88, 14,645.82 and 4,566.28 is: 6,852.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.88 : 14,645.82 = 4,566.28 : x
  2. Step 2: Convert to fraction form
    9,759.88/14,645.82 = 4,566.28/x
  3. Step 3: Cross multiply
    9,759.88x = 14,645.82 × 4,566.28
  4. Step 4: Simplify right side
    9,759.88x = 66,876,914.95
  5. Step 5: Solve for x
    x = 66,876,914.95/9,759.88
  6. Step 6: Final answer
    x = 6,852.23

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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.