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Finding the Fourth Proportional to 9,288.09, 13,932.22 and 6,527.17

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Solution

The fourth proportional to 9,288.09, 13,932.22 and 6,527.17 is: 9,790.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.09 : 13,932.22 = 6,527.17 : x
  2. Step 2: Convert to fraction form
    9,288.09/13,932.22 = 6,527.17/x
  3. Step 3: Cross multiply
    9,288.09x = 13,932.22 × 6,527.17
  4. Step 4: Simplify right side
    9,288.09x = 90,937,934.62
  5. Step 5: Solve for x
    x = 90,937,934.62/9,288.09
  6. Step 6: Final answer
    x = 9,790.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.