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Finding the Fourth Proportional to 9,982.12, 13,780.95 and 6,629.52

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Solution

The fourth proportional to 9,982.12, 13,780.95 and 6,629.52 is: 9,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.12 : 13,780.95 = 6,629.52 : x
  2. Step 2: Convert to fraction form
    9,982.12/13,780.95 = 6,629.52/x
  3. Step 3: Cross multiply
    9,982.12x = 13,780.95 × 6,629.52
  4. Step 4: Simplify right side
    9,982.12x = 91,361,083.64
  5. Step 5: Solve for x
    x = 91,361,083.64/9,982.12
  6. Step 6: Final answer
    x = 9,152.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.