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Finding the Fourth Proportional to 9,502.36, 14,318.41 and 7,808.92

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Solution

The fourth proportional to 9,502.36, 14,318.41 and 7,808.92 is: 11,766.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.36 : 14,318.41 = 7,808.92 : x
  2. Step 2: Convert to fraction form
    9,502.36/14,318.41 = 7,808.92/x
  3. Step 3: Cross multiply
    9,502.36x = 14,318.41 × 7,808.92
  4. Step 4: Simplify right side
    9,502.36x = 111,811,318.22
  5. Step 5: Solve for x
    x = 111,811,318.22/9,502.36
  6. Step 6: Final answer
    x = 11,766.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.