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Finding the Fourth Proportional to 9,652.36, 14,463.66 and 7,175.56

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Solution

The fourth proportional to 9,652.36, 14,463.66 and 7,175.56 is: 10,752.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.36 : 14,463.66 = 7,175.56 : x
  2. Step 2: Convert to fraction form
    9,652.36/14,463.66 = 7,175.56/x
  3. Step 3: Cross multiply
    9,652.36x = 14,463.66 × 7,175.56
  4. Step 4: Simplify right side
    9,652.36x = 103,784,860.15
  5. Step 5: Solve for x
    x = 103,784,860.15/9,652.36
  6. Step 6: Final answer
    x = 10,752.28

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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.