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Finding the Fourth Proportional to 9,780.12, 13,504.32 and 9,033.80

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Solution

The fourth proportional to 9,780.12, 13,504.32 and 9,033.80 is: 12,473.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.12 : 13,504.32 = 9,033.80 : x
  2. Step 2: Convert to fraction form
    9,780.12/13,504.32 = 9,033.80/x
  3. Step 3: Cross multiply
    9,780.12x = 13,504.32 × 9,033.80
  4. Step 4: Simplify right side
    9,780.12x = 121,995,326.02
  5. Step 5: Solve for x
    x = 121,995,326.02/9,780.12
  6. Step 6: Final answer
    x = 12,473.81

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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.