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Finding the Fourth Proportional to 9,786.39, 13,498.18 and 6,762.57

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Solution

The fourth proportional to 9,786.39, 13,498.18 and 6,762.57 is: 9,327.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.39 : 13,498.18 = 6,762.57 : x
  2. Step 2: Convert to fraction form
    9,786.39/13,498.18 = 6,762.57/x
  3. Step 3: Cross multiply
    9,786.39x = 13,498.18 × 6,762.57
  4. Step 4: Simplify right side
    9,786.39x = 91,282,387.12
  5. Step 5: Solve for x
    x = 91,282,387.12/9,786.39
  6. Step 6: Final answer
    x = 9,327.48

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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.