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Finding the Fourth Proportional to 9,687.98, 13,364.47 and 6,332.75

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Solution

The fourth proportional to 9,687.98, 13,364.47 and 6,332.75 is: 8,735.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.98 : 13,364.47 = 6,332.75 : x
  2. Step 2: Convert to fraction form
    9,687.98/13,364.47 = 6,332.75/x
  3. Step 3: Cross multiply
    9,687.98x = 13,364.47 × 6,332.75
  4. Step 4: Simplify right side
    9,687.98x = 84,633,847.39
  5. Step 5: Solve for x
    x = 84,633,847.39/9,687.98
  6. Step 6: Final answer
    x = 8,735.96

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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.