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Finding the Fourth Proportional to 9,682.91, 13,365.66 and 6,284.55

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Solution

The fourth proportional to 9,682.91, 13,365.66 and 6,284.55 is: 8,674.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.91 : 13,365.66 = 6,284.55 : x
  2. Step 2: Convert to fraction form
    9,682.91/13,365.66 = 6,284.55/x
  3. Step 3: Cross multiply
    9,682.91x = 13,365.66 × 6,284.55
  4. Step 4: Simplify right side
    9,682.91x = 83,997,196.89
  5. Step 5: Solve for x
    x = 83,997,196.89/9,682.91
  6. Step 6: Final answer
    x = 8,674.79

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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.