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Finding the Fourth Proportional to 9,527.52, 14,175.96 and 9,289.44

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Solution

The fourth proportional to 9,527.52, 14,175.96 and 9,289.44 is: 13,821.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.52 : 14,175.96 = 9,289.44 : x
  2. Step 2: Convert to fraction form
    9,527.52/14,175.96 = 9,289.44/x
  3. Step 3: Cross multiply
    9,527.52x = 14,175.96 × 9,289.44
  4. Step 4: Simplify right side
    9,527.52x = 131,686,729.86
  5. Step 5: Solve for x
    x = 131,686,729.86/9,527.52
  6. Step 6: Final answer
    x = 13,821.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.