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Finding the Fourth Proportional to 9,527.28, 14,285.88 and 3,678

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Solution

The fourth proportional to 9,527.28, 14,285.88 and 3,678 is: 5,515.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.28 : 14,285.88 = 3,678 : x
  2. Step 2: Convert to fraction form
    9,527.28/14,285.88 = 3,678/x
  3. Step 3: Cross multiply
    9,527.28x = 14,285.88 × 3,678
  4. Step 4: Simplify right side
    9,527.28x = 52,543,466.64
  5. Step 5: Solve for x
    x = 52,543,466.64/9,527.28
  6. Step 6: Final answer
    x = 5,515.05

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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.