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Finding the Fourth Proportional to 9,527.16, 14,289.06 and 3,678.96

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Solution

The fourth proportional to 9,527.16, 14,289.06 and 3,678.96 is: 5,517.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.16 : 14,289.06 = 3,678.96 : x
  2. Step 2: Convert to fraction form
    9,527.16/14,289.06 = 3,678.96/x
  3. Step 3: Cross multiply
    9,527.16x = 14,289.06 × 3,678.96
  4. Step 4: Simplify right side
    9,527.16x = 52,568,880.18
  5. Step 5: Solve for x
    x = 52,568,880.18/9,527.16
  6. Step 6: Final answer
    x = 5,517.79

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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.