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Finding the Fourth Proportional to 9,652.24, 14,463.78 and 7,175.44

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Solution

The fourth proportional to 9,652.24, 14,463.78 and 7,175.44 is: 10,752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.24 : 14,463.78 = 7,175.44 : x
  2. Step 2: Convert to fraction form
    9,652.24/14,463.78 = 7,175.44/x
  3. Step 3: Cross multiply
    9,652.24x = 14,463.78 × 7,175.44
  4. Step 4: Simplify right side
    9,652.24x = 103,783,985.56
  5. Step 5: Solve for x
    x = 103,783,985.56/9,652.24
  6. Step 6: Final answer
    x = 10,752.32

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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.