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Finding the Fourth Proportional to 10,409.53, 14,361.11 and 6,632.02

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Solution

The fourth proportional to 10,409.53, 14,361.11 and 6,632.02 is: 9,149.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.53 : 14,361.11 = 6,632.02 : x
  2. Step 2: Convert to fraction form
    10,409.53/14,361.11 = 6,632.02/x
  3. Step 3: Cross multiply
    10,409.53x = 14,361.11 × 6,632.02
  4. Step 4: Simplify right side
    10,409.53x = 95,243,110.06
  5. Step 5: Solve for x
    x = 95,243,110.06/10,409.53
  6. Step 6: Final answer
    x = 9,149.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.