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Finding the Fourth Proportional to 9,527.28, 14,289.12 and 7,689.12

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Solution

The fourth proportional to 9,527.28, 14,289.12 and 7,689.12 is: 11,532.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.28 : 14,289.12 = 7,689.12 : x
  2. Step 2: Convert to fraction form
    9,527.28/14,289.12 = 7,689.12/x
  3. Step 3: Cross multiply
    9,527.28x = 14,289.12 × 7,689.12
  4. Step 4: Simplify right side
    9,527.28x = 109,870,758.37
  5. Step 5: Solve for x
    x = 109,870,758.37/9,527.28
  6. Step 6: Final answer
    x = 11,532.23

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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.